Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 10.2, Problem 3BCYP
To determine

To draw: The graph of the equation y=x2+6x4.

Expert Solution & Answer
Check Mark

Answer to Problem 3BCYP

The graph of the equation is shown in figure (1).

Explanation of Solution

Given:

The given equation is y=x2+6x4.

Calculation:

Rewrite the given quadratic equation in the standard form by completing the square.

  y=(x2+6x+9)49y=(x+3)213

Compare the equation y=(x+3)213 with the standard equation y=a(xh)2+k.

  a=1h=3k=13

Therefore, the vertex of the given equation is (3,13).

Axis of symmetry will be given shown below.

  x=h=3

Therefore, the axis of symmetry is x=3.

Find the focus.

  Focus=(13,3+14(1))=(13,114)

Find the directrix.

  y=k14a=1314=534

As it is found that the value of a=1 is negative so by definition the parabola opens towards right.

The length of the latus rectum is |1(1)|=1 unit.

Draw the graph of the equation y=(x+3)213 as follows.

  Algebra 2, Chapter 10.2, Problem 3BCYP

Figure (1)

Therefore, the graph of the equation is shown in figure (1).

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - 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