Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 9.1, Problem 41PPS
To determine

To Find:

The vertex , axis of symmetry and y − intercept.

Expert Solution & Answer
Check Mark

Answer to Problem 41PPS

Vertex : (1,-15)

Axis of Symmetry : x = 1

y-intercept : -18

Explanation of Solution

Given Information:

Given equation is :

  y=3x2+6x18

Concept Used :

  • Quadratic Functions:
  • Quadratic functions are non-linear and are of the form:

  f(x)=ax2+bx+c;a0

This is the standard form of Quadratic function.

  • Shape of the graph of a Quadratic function is called Parabola.
  • Parabolas are symmetric about a central line called Axis Of Symmetry.
  • The axis of symmetry intersects a parabola only at one point , called the Vertex.
  • Parent Function:

  y=x2

  • Standard Form :

  f(x)=ax2+bx+c;a0

  • Type of Graph:

Parabola

  • Axis of Symmetry: Passes through the vertex and divides the parabola into two congruent halves.

  x=b2a

  • y-intercept = The y coordinate of the point at which the graph intersects y-axis = c
  • Graph:

  Algebra 1, Chapter 9.1, Problem 41PPS

  • If a > 0 ,
  • The graph of ax2+bx+c opens upward.
  • The lowest point on the graph is the minimum.
  • If a < 0 ,
  • The graph of ax2+bx+c opens downward.
  • The highest point on the graph is the maximum.
  • The maximum or the minimum is the vertex.

Calculation:

  • In the equation y=3x2+6x18 ; comparing it with standard form of quadratic equation , we have a = -3 , b = 6, c = -18 .
  • Find Axis of Symmetry :

  y=ax2+bx+c...........................[standard_form]x=b2a.....................................[formula_of_axis_of_symmetry]x=62(3)=1..........................[a=3,b=6]

The equation of axis of symmetry is x = 1

  • Find the Vertex :

Since axis of symmetry passes through the vertex , we have x coordinate of the vertex (x,y) is x= 1

Substituting the value of x = 1 in the equation y=3x2+6x18

  y=3x2+6x18 y=3 (1) 2 +6(1)18.....................[x=1]y=3+618................................[simplify]y=15

The vertex is at (1,-15)

  • Find y-intercept :

The y-coordinate of the point at which the graph cuts the y-axis is the y-intercept.

Hence , substituting x=0 in the equation y=3x2+6x18 , we will get the y-intercept.

  y=3x2+6x18 y=3 (0) 2 +6(0)18.........................[x=0]y=18

Or

y-intercept always occurs at (0,c) and c = -18 here.

So, y-intercept = -18 and is located at the point is (0,-18) .

Chapter 9 Solutions

Algebra 1

Ch. 9.1 - Prob. 77STPCh. 9.1 - Prob. 78STPCh. 9.1 - Prob. 79SRCh. 9.1 - Prob. 80SRCh. 9.1 - Prob. 81SRCh. 9.1 - Prob. 82SRCh. 9.1 - Prob. 83SRCh. 9.1 - Prob. 84SRCh. 9.1 - Prob. 85SRCh. 9.1 - Prob. 86SRCh. 9.1 - Prob. 87SRCh. 9.1 - Prob. 88SRCh. 9.1 - Prob. 89SRCh. 9.1 - Prob. 90SRCh. 9.1 - Prob. 91SRCh. 9.1 - Prob. 92SRCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45PPSCh. 9.1 - Prob. 46PPSCh. 9.1 - Prob. 47PPSCh. 9.1 - Prob. 48PPSCh. 9.1 - Prob. 49PPSCh. 9.1 - Prob. 50PPSCh. 9.1 - Prob. 51PPSCh. 9.1 - Prob. 52PPSCh. 9.1 - Prob. 53PPSCh. 9.1 - Prob. 54PPSCh. 9.1 - Prob. 55PPSCh. 9.1 - Prob. 56PPSCh. 9.1 - Prob. 57PPSCh. 9.1 - Prob. 58PPSCh. 9.1 - Prob. 59PPSCh. 9.1 - Prob. 60PPSCh. 9.1 - Prob. 61PPSCh. 9.1 - Prob. 62PPSCh. 9.1 - Prob. 63PPSCh. 9.1 - Prob. 64PPSCh. 9.1 - Prob. 65PPSCh. 9.1 - Prob. 66PPSCh. 9.1 - Prob. 93SCh. 9.1 - Prob. 94SCh. 9.1 - Prob. 95SCh. 9.1 - Prob. 1CYPCh. 9.1 - Prob. 2BCYPCh. 9.1 - Prob. 3ACYPCh. 9.1 - Prob. 3BCYPCh. 9.1 - Prob. 4ACYPCh. 9.1 - Prob. 4BCYPCh. 9.1 - Prob. 4CCYPCh. 9.1 - Prob. 5ACYPCh. 9.1 - Prob. 5BCYPCh. 9.1 - Prob. 6ACYPCh. 9.1 - Prob. 6BCYPCh. 9.1 - Prob. 6CCYPCh. 9.1 - Prob. 1CYUCh. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYUCh. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10CYUCh. 9.1 - Prob. 11CYUCh. 9.1 - Prob. 12CYUCh. 9.1 - Prob. 13CYUCh. 9.1 - Prob. 14CYUCh. 9.1 - Prob. 15CYUCh. 9.1 - Prob. 16CYUCh. 9.1 - Prob. 17CYUCh. 9.1 - Prob. 18CYUCh. 9.1 - Prob. 19CYUCh. 9.1 - Prob. 20CYUCh. 9.1 - Prob. 21CYUCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 2ACYPCh. 9.2 - Prob. 1ACYPCh. 9.2 - Prob. 1BCYPCh. 9.2 - Prob. 2ACYPCh. 9.2 - Prob. 2BCYPCh. 9.2 - Prob. 3ACYPCh. 9.2 - Prob. 3BCYPCh. 9.2 - Prob. 4CYPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8CYUCh. 9.2 - Prob. 10PPSCh. 9.2 - Prob. 11PPSCh. 9.2 - Prob. 12PPSCh. 9.2 - Prob. 13PPSCh. 9.2 - Prob. 14PPSCh. 9.2 - Prob. 15PPSCh. 9.2 - Prob. 16PPSCh. 9.2 - Prob. 17PPSCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30PPSCh. 9.2 - Prob. 31PPSCh. 9.2 - Prob. 32PPSCh. 9.2 - Prob. 33PPSCh. 9.2 - Prob. 34PPSCh. 9.2 - Prob. 35PPSCh. 9.2 - Prob. 38PPSCh. 9.2 - Prob. 39PPSCh. 9.2 - Prob. 40PPSCh. 9.2 - Prob. 43HPCh. 9.2 - Prob. 44HPCh. 9.2 - Prob. 45HPCh. 9.2 - Prob. 46HPCh. 9.2 - Prob. 47STPCh. 9.2 - Prob. 48STPCh. 9.2 - Prob. 49STPCh. 9.2 - Prob. 50STPCh. 9.2 - Prob. 51SRCh. 9.2 - Prob. 52SRCh. 9.2 - Prob. 53SRCh. 9.2 - Prob. 54SRCh. 9.2 - Prob. 55SRCh. 9.2 - Prob. 56SRCh. 9.2 - Prob. 57SRCh. 9.2 - Prob. 58SRCh. 9.2 - Prob. 59SRCh. 9.2 - Prob. 60SRCh. 9.2 - Prob. 61SRCh. 9.2 - Prob. 62SRCh. 9.2 - Prob. 63SRCh. 9.2 - Prob. 64SRCh. 9.2 - Prob. 65SRCh. 9.2 - Prob. 66SRCh. 9.2 - Prob. 67SRCh. 9.2 - Prob. 68SRCh. 9.2 - Prob. 69SRCh. 9.2 - Prob. 70SRCh. 9.2 - Prob. 71SCh. 9.2 - Prob. 72SCh. 9.2 - Prob. 73SCh. 9.2 - Prob. 74SCh. 9.2 - Prob. 75SCh. 9.2 - Prob. 76SCh. 9.2 - Prob. 5CYPCh. 9.2 - Prob. 9CYUCh. 9.2 - Prob. 36PPSCh. 9.2 - Prob. 37PPSCh. 9.2 - Prob. 41HPCh. 9.2 - Prob. 42HPCh. 9.3 - Prob. 1ACYPCh. 9.3 - Prob. 1BCYPCh. 9.3 - Prob. 1CCYPCh. 9.3 - Prob. 1DCYPCh. 9.3 - Prob. 2ACYPCh. 9.3 - Prob. 2BCYPCh. 9.3 - Prob. 2CCYPCh. 9.3 - Prob. 3ACYPCh. 9.3 - Prob. 3BCYPCh. 9.3 - Prob. 4CYPCh. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 3CYUCh. 9.3 - Prob. 4CYUCh. 9.3 - Prob. 5CYUCh. 9.3 - Prob. 6CYUCh. 9.3 - Prob. 7CYUCh. 9.3 - Prob. 8PPSCh. 9.3 - Prob. 9PPSCh. 9.3 - Prob. 10PPSCh. 9.3 - Prob. 11PPSCh. 9.3 - Prob. 12PPSCh. 9.3 - Prob. 13PPSCh. 9.3 - Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34PPSCh. 9.3 - Prob. 35HPCh. 9.3 - Prob. 36HPCh. 9.3 - Prob. 37HPCh. 9.3 - Prob. 38HPCh. 9.3 - Prob. 39HPCh. 9.3 - Prob. 40STPCh. 9.3 - Prob. 41STPCh. 9.3 - Prob. 42STPCh. 9.3 - Prob. 43STPCh. 9.3 - Prob. 44SRCh. 9.3 - Prob. 45SRCh. 9.3 - Prob. 46SRCh. 9.3 - Prob. 47SRCh. 9.3 - Prob. 48SRCh. 9.3 - Prob. 49SRCh. 9.3 - Prob. 50SRCh. 9.3 - Prob. 51SRCh. 9.3 - Prob. 52SRCh. 9.3 - Prob. 53SRCh. 9.3 - Prob. 54SRCh. 9.3 - Prob. 55SRCh. 9.3 - Prob. 56SRCh. 9.3 - Prob. 57SCh. 9.3 - Prob. 58SCh. 9.3 - Prob. 59SCh. 9.3 - Prob. 60SCh. 9.3 - Prob. 61SCh. 9.3 - Prob. 62SCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7CYUCh. 9.4 - Prob. 8CYUCh. 9.4 - Prob. 9CYUCh. 9.4 - Prob. 10PPSCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40PPSCh. 9.4 - Prob. 41PPSCh. 9.4 - Prob. 42PPSCh. 9.4 - Prob. 43PPSCh. 9.4 - Prob. 44PPSCh. 9.4 - Prob. 45PPSCh. 9.4 - Prob. 46PPSCh. 9.4 - Prob. 47PPSCh. 9.4 - Prob. 48HPCh. 9.4 - Prob. 49HPCh. 9.4 - Prob. 50HPCh. 9.4 - Prob. 51HPCh. 9.4 - Prob. 52HPCh. 9.4 - Prob. 53STPCh. 9.4 - Prob. 54STPCh. 9.4 - Prob. 55STPCh. 9.4 - Prob. 56STPCh. 9.4 - Prob. 57SRCh. 9.4 - Prob. 58SRCh. 9.4 - Prob. 59SRCh. 9.4 - Prob. 60SRCh. 9.4 - Prob. 61SRCh. 9.4 - Prob. 62SRCh. 9.4 - Prob. 63SRCh. 9.4 - Prob. 64SRCh. 9.4 - Prob. 65SRCh. 9.4 - Prob. 66SRCh. 9.4 - Prob. 67SRCh. 9.4 - Prob. 68SRCh. 9.4 - Prob. 69SRCh. 9.4 - Prob. 70SRCh. 9.4 - Prob. 71SRCh. 9.4 - Prob. 72SRCh. 9.4 - Prob. 73SRCh. 9.4 - Prob. 74SRCh. 9.4 - Prob. 75SRCh. 9.4 - Prob. 76SCh. 9.4 - Prob. 77SCh. 9.4 - Prob. 78SCh. 9.4 - Prob. 79SCh. 9.4 - Prob. 80SCh. 9.4 - Prob. 81SCh. 9.4 - Prob. 23PPSCh. 9.5 - Prob. 66SRCh. 9.5 - Prob. 67SRCh. 9.5 - Prob. 68SRCh. 9.5 - Prob. 69SRCh. 9.5 - Prob. 70SRCh. 9.5 - Prob. 71SRCh. 9.5 - Prob. 72SCh. 9.5 - Prob. 73SCh. 9.5 - Prob. 74SCh. 9.5 - Prob. 75SCh. 9.5 - Prob. 76SCh. 9.5 - Prob. 77SCh. 9.5 - Prob. 1CYPCh. 9.5 - Prob. 2ACYPCh. 9.5 - Prob. 2BCYPCh. 9.5 - Prob. 3ACYPCh. 9.5 - Prob. 3BCYPCh. 9.5 - Prob. 4ACYPCh. 9.5 - Prob. 4BCYPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10CYUCh. 9.5 - Prob. 11CYUCh. 9.5 - Prob. 12CYUCh. 9.5 - Prob. 13CYUCh. 9.5 - Prob. 14CYUCh. 9.5 - Prob. 15CYUCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44PPSCh. 9.5 - Prob. 45PPSCh. 9.5 - Prob. 46PPSCh. 9.5 - Prob. 47PPSCh. 9.5 - Prob. 48PPSCh. 9.5 - Prob. 49PPSCh. 9.5 - Prob. 50PPSCh. 9.5 - Prob. 51HPCh. 9.5 - Prob. 52HPCh. 9.5 - Prob. 53HPCh. 9.5 - Prob. 55HPCh. 9.5 - Prob. 56HPCh. 9.5 - Prob. 57HPCh. 9.5 - Prob. 60STPCh. 9.5 - Prob. 61STPCh. 9.5 - Prob. 62STPCh. 9.5 - Prob. 63SRCh. 9.5 - Prob. 64SRCh. 9.5 - Prob. 65SRCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 54HPCh. 9.5 - Prob. 58HPCh. 9.5 - Prob. 59STPCh. 9.6 - Prob. 3BCYPCh. 9.6 - Prob. 1ACYPCh. 9.6 - Prob. 1BCYPCh. 9.6 - Prob. 2ACYPCh. 9.6 - Prob. 2BCYPCh. 9.6 - Prob. 3ACYPCh. 9.6 - Prob. 4CYPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10PPSCh. 9.6 - Prob. 11PPSCh. 9.6 - Prob. 12PPSCh. 9.6 - Prob. 13PPSCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37PPSCh. 9.6 - Prob. 38PPSCh. 9.6 - Prob. 39PPSCh. 9.6 - Prob. 40PPSCh. 9.6 - Prob. 41HPCh. 9.6 - Prob. 42HPCh. 9.6 - Prob. 43HPCh. 9.6 - Prob. 46STPCh. 9.6 - Prob. 47STPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50SRCh. 9.6 - Prob. 51SRCh. 9.6 - Prob. 52SRCh. 9.6 - Prob. 53SRCh. 9.6 - Prob. 54SRCh. 9.6 - Prob. 55SRCh. 9.6 - Prob. 56SRCh. 9.6 - Prob. 57SRCh. 9.6 - Prob. 58SRCh. 9.6 - Prob. 59SRCh. 9.6 - Prob. 60SRCh. 9.6 - Prob. 61SRCh. 9.6 - Prob. 62SRCh. 9.6 - Prob. 63SCh. 9.6 - Prob. 64SCh. 9.6 - Prob. 65SCh. 9.6 - Prob. 66SCh. 9.6 - Prob. 67SCh. 9.6 - Prob. 68SCh. 9.6 - Prob. 44HPCh. 9.6 - Prob. 45HPCh. 9.7 - Prob. 14PPSCh. 9.7 - Prob. 4PPSCh. 9.7 - Prob. 5PPSCh. 9.7 - Prob. 6PPSCh. 9.7 - Prob. 7PPSCh. 9.7 - Prob. 8PPSCh. 9.7 - Prob. 9PPSCh. 9.7 - Prob. 10PPSCh. 9.7 - Prob. 11PPSCh. 9.7 - Prob. 12PPSCh. 9.7 - Prob. 13PPSCh. 9.7 - Prob. 17HPCh. 9.7 - Prob. 19HPCh. 9.7 - Prob. 20HPCh. 9.7 - Prob. 21STPCh. 9.7 - Prob. 22STPCh. 9.7 - Prob. 23STPCh. 9.7 - Prob. 24STPCh. 9.7 - Prob. 25SRCh. 9.7 - Prob. 26SRCh. 9.7 - Prob. 27SRCh. 9.7 - Prob. 28SRCh. 9.7 - Prob. 29SRCh. 9.7 - Prob. 30SRCh. 9.7 - Prob. 31SRCh. 9.7 - Prob. 32SRCh. 9.7 - Prob. 33SRCh. 9.7 - Prob. 34SRCh. 9.7 - Prob. 35SRCh. 9.7 - Prob. 36SRCh. 9.7 - Prob. 37SRCh. 9.7 - Prob. 38SRCh. 9.7 - Prob. 39SRCh. 9.7 - Prob. 40SRCh. 9.7 - Prob. 41SRCh. 9.7 - Prob. 42SCh. 9.7 - Prob. 43SCh. 9.7 - Prob. 44SCh. 9.7 - Prob. 1CYPCh. 9.7 - Prob. 2CYPCh. 9.7 - Prob. 3CYPCh. 9.7 - Prob. 1CYUCh. 9.7 - Prob. 2CYUCh. 9.7 - Prob. 3CYUCh. 9.7 - Prob. 15PPSCh. 9.7 - Prob. 16HPCh. 9.7 - Prob. 18HPCh. 9.8 - Prob. 33PPSCh. 9.8 - Prob. 34PPSCh. 9.8 - Prob. 35PPSCh. 9.8 - Prob. 36PPSCh. 9.8 - Prob. 37PPSCh. 9.8 - Prob. 38HPCh. 9.8 - Prob. 39HPCh. 9.8 - Prob. 40HPCh. 9.8 - Prob. 41HPCh. 9.8 - Prob. 42HPCh. 9.8 - Prob. 43STPCh. 9.8 - Prob. 44STPCh. 9.8 - Prob. 45STPCh. 9.8 - Prob. 46STPCh. 9.8 - Prob. 47SRCh. 9.8 - Prob. 48SRCh. 9.8 - Prob. 49SRCh. 9.8 - Prob. 50SRCh. 9.8 - Prob. 51SRCh. 9.8 - Prob. 52SRCh. 9.8 - Prob. 53SRCh. 9.8 - Prob. 54SRCh. 9.8 - Prob. 55SRCh. 9.8 - Prob. 56SRCh. 9.8 - Prob. 57SRCh. 9.8 - Prob. 58SRCh. 9.8 - Prob. 59SRCh. 9.8 - Prob. 60SRCh. 9.8 - Prob. 61SRCh. 9.8 - Prob. 62SRCh. 9.8 - Prob. 63SRCh. 9.8 - Prob. 64SCh. 9.8 - Prob. 65SCh. 9.8 - Prob. 66SCh. 9.8 - Prob. 67SCh. 9.8 - Prob. 68SCh. 9.8 - Prob. 69SCh. 9.8 - Prob. 1ACYPCh. 9.8 - Prob. 1BCYPCh. 9.8 - Prob. 1CCYPCh. 9.8 - Prob. 2ACYPCh. 9.8 - Prob. 2BCYPCh. 9.8 - Prob. 3CYPCh. 9.8 - Prob. 4CYPCh. 9.8 - Prob. 1CYUCh. 9.8 - Prob. 2CYUCh. 9.8 - Prob. 3CYUCh. 9.8 - Prob. 4CYUCh. 9.8 - Prob. 5CYUCh. 9.8 - Prob. 6CYUCh. 9.8 - Prob. 7CYUCh. 9.8 - Prob. 8CYUCh. 9.8 - Prob. 9CYUCh. 9.8 - Prob. 10CYUCh. 9.8 - Prob. 11CYUCh. 9.8 - Prob. 12CYUCh. 9.8 - Prob. 13CYUCh. 9.8 - Prob. 14PPSCh. 9.8 - Prob. 15PPSCh. 9.8 - Prob. 16PPSCh. 9.8 - Prob. 17PPSCh. 9.8 - Prob. 18PPSCh. 9.8 - Prob. 19PPSCh. 9.8 - Prob. 20PPSCh. 9.8 - Prob. 21PPSCh. 9.8 - Prob. 22PPSCh. 9.8 - Prob. 23PPSCh. 9.8 - Prob. 24PPSCh. 9.8 - Prob. 25PPSCh. 9.8 - Prob. 26PPSCh. 9.8 - Prob. 27PPSCh. 9.8 - Prob. 28PPSCh. 9.8 - Prob. 29PPSCh. 9.8 - Prob. 30PPSCh. 9.8 - Prob. 31PPSCh. 9.8 - Prob. 32PPSCh. 9.9 - Prob. 1ACYPCh. 9.9 - Prob. 1BCYPCh. 9.9 - Prob. 2ACYPCh. 9.9 - Prob. 2BCYPCh. 9.9 - Prob. 3ACYPCh. 9.9 - Prob. 3BCYPCh. 9.9 - Prob. 4CYPCh. 9.9 - Prob. 1CYUCh. 9.9 - Prob. 2CYUCh. 9.9 - Prob. 3CYUCh. 9.9 - Prob. 4CYUCh. 9.9 - Prob. 5CYUCh. 9.9 - Prob. 6CYUCh. 9.9 - Prob. 7CYUCh. 9.9 - Prob. 8CYUCh. 9.9 - Prob. 9CYUCh. 9.9 - Prob. 10CYUCh. 9.9 - Prob. 11CYUCh. 9.9 - Prob. 12CYUCh. 9.9 - Prob. 13CYUCh. 9.9 - Prob. 14PPSCh. 9.9 - Prob. 15PPSCh. 9.9 - Prob. 16PPSCh. 9.9 - Prob. 17PPSCh. 9.9 - Prob. 18PPSCh. 9.9 - Prob. 19PPSCh. 9.9 - Prob. 20PPSCh. 9.9 - Prob. 21PPSCh. 9.9 - Prob. 22PPSCh. 9.9 - Prob. 23PPSCh. 9.9 - Prob. 24PPSCh. 9.9 - Prob. 25PPSCh. 9.9 - Prob. 26PPSCh. 9.9 - Prob. 27PPSCh. 9.9 - Prob. 28PPSCh. 9.9 - Prob. 29PPSCh. 9.9 - Prob. 30PPSCh. 9.9 - Prob. 31HPCh. 9.9 - Prob. 32HPCh. 9.9 - Prob. 33HPCh. 9.9 - Prob. 34HPCh. 9.9 - Prob. 36STPCh. 9.9 - Prob. 37STPCh. 9.9 - Prob. 38STPCh. 9.9 - Prob. 39STPCh. 9.9 - Prob. 40SRCh. 9.9 - Prob. 41SRCh. 9.9 - Prob. 42SRCh. 9.9 - Prob. 43SRCh. 9.9 - Prob. 44SRCh. 9.9 - Prob. 45SRCh. 9.9 - Prob. 46SRCh. 9.9 - Prob. 47SRCh. 9.9 - Prob. 48SRCh. 9.9 - Prob. 49SRCh. 9.9 - Prob. 50SRCh. 9.9 - Prob. 51SRCh. 9.9 - Prob. 52SRCh. 9.9 - Prob. 53SRCh. 9.9 - Prob. 54SRCh. 9.9 - Prob. 55SRCh. 9.9 - Prob. 56SRCh. 9.9 - Prob. 57SRCh. 9.9 - Prob. 58SRCh. 9.9 - Prob. 59SRCh. 9.9 - Prob. 60SCh. 9.9 - Prob. 61SCh. 9.9 - Prob. 62SCh. 9.9 - Prob. 35HPCh. 9 - Prob. 5STPCh. 9 - Prob. 6STPCh. 9 - Prob. 7STPCh. 9 - Prob. 8STPCh. 9 - Prob. 9STPCh. 9 - Prob. 10STPCh. 9 - Prob. 11STPCh. 9 - Prob. 1QCCh. 9 - Prob. 2QCCh. 9 - Prob. 3QCCh. 9 - Prob. 4QCCh. 9 - Prob. 5QCCh. 9 - Prob. 6QCCh. 9 - Prob. 7QCCh. 9 - Prob. 8QCCh. 9 - Prob. 9QCCh. 9 - Prob. 10QCCh. 9 - Prob. 11QCCh. 9 - Prob. 12QCCh. 9 - Prob. 13QCCh. 9 - Prob. 14QCCh. 9 - Prob. 15QCCh. 9 - Prob. 16QCCh. 9 - Prob. 17QCCh. 9 - Prob. 18QCCh. 9 - Prob. 19QCCh. 9 - Prob. 20QCCh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 14MCQCh. 9 - Prob. 15MCQCh. 9 - Prob. 16MCQCh. 9 - Prob. 17MCQCh. 9 - Prob. 18MCQCh. 9 - Prob. 19MCQCh. 9 - Prob. 20MCQCh. 9 - Prob. 21MCQCh. 9 - Prob. 22MCQCh. 9 - Prob. 23MCQCh. 9 - Prob. 24MCQCh. 9 - Prob. 25MCQCh. 9 - Prob. 1SGRCh. 9 - Prob. 2SGRCh. 9 - Prob. 3SGRCh. 9 - Prob. 4SGRCh. 9 - Prob. 5SGRCh. 9 - Prob. 6SGRCh. 9 - Prob. 7SGRCh. 9 - Prob. 8SGRCh. 9 - Prob. 9SGRCh. 9 - Prob. 10SGRCh. 9 - Prob. 11SGRCh. 9 - Prob. 12SGRCh. 9 - Prob. 13SGRCh. 9 - Prob. 14SGRCh. 9 - Prob. 15SGRCh. 9 - Prob. 16SGRCh. 9 - Prob. 17SGRCh. 9 - Prob. 18SGRCh. 9 - Prob. 19SGRCh. 9 - Prob. 20SGRCh. 9 - Prob. 21SGRCh. 9 - Prob. 22SGRCh. 9 - Prob. 23SGRCh. 9 - Prob. 24SGRCh. 9 - Prob. 25SGRCh. 9 - Prob. 26SGRCh. 9 - Prob. 27SGRCh. 9 - Prob. 28SGRCh. 9 - Prob. 29SGRCh. 9 - Prob. 30SGRCh. 9 - Prob. 31SGRCh. 9 - Prob. 32SGRCh. 9 - Prob. 33SGRCh. 9 - Prob. 34SGRCh. 9 - Prob. 35SGRCh. 9 - Prob. 36SGRCh. 9 - Prob. 37SGRCh. 9 - Prob. 38SGRCh. 9 - Prob. 39SGRCh. 9 - Prob. 40SGRCh. 9 - Prob. 41SGRCh. 9 - Prob. 42SGRCh. 9 - Prob. 43SGRCh. 9 - Prob. 44SGRCh. 9 - Prob. 45SGRCh. 9 - Prob. 46SGRCh. 9 - Prob. 47SGRCh. 9 - Prob. 48SGRCh. 9 - Prob. 49SGRCh. 9 - Prob. 50SGRCh. 9 - Prob. 51SGRCh. 9 - Prob. 52SGRCh. 9 - Prob. 53SGRCh. 9 - Prob. 54SGRCh. 9 - Prob. 55SGRCh. 9 - Prob. 56SGRCh. 9 - Prob. 57SGRCh. 9 - Prob. 58SGRCh. 9 - Prob. 59SGRCh. 9 - Prob. 60SGRCh. 9 - Prob. 61SGRCh. 9 - Prob. 62SGRCh. 9 - Prob. 63SGRCh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 16PTCh. 9 - Prob. 17PTCh. 9 - Prob. 18PTCh. 9 - Prob. 19PTCh. 9 - Prob. 20PTCh. 9 - Prob. 21PTCh. 9 - Prob. 22PTCh. 9 - Prob. 23PTCh. 9 - Prob. 24PTCh. 9 - Prob. 25PTCh. 9 - Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 1STPCh. 9 - Prob. 2STPCh. 9 - Prob. 3STPCh. 9 - Prob. 4STP
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY