e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it. g. Graph the function accurately using the above information. ex 2. For g(x) 3x2- 12x + 6, answer the following questions. a. Find the values of the x-intercepts. b. State the coordinates of the y-intercept. c. State the vertex. d. State the axis of symmetry. e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it g. Graph the function accurately using the above information. h. State the domain. i. State the range. j. State the interval of x where the graph is increasing. k. State the interval of x where the graph is decreasing.

e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it. g. Graph the function accurately using the above information. ex 2. For g(x) 3x2- 12x + 6, answer the following questions. a. Find the values of the x-intercepts. b. State the coordinates of the y-intercept. c. State the vertex. d. State the axis of symmetry. e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it g. Graph the function accurately using the above information. h. State the domain. i. State the range. j. State the interval of x where the graph is increasing. k. State the interval of x where the graph is decreasing.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 42HP

See similar textbooks

Related questions

Q: when is the vertex of a parabola the minimun point? When is it the maximum point

A: Given query is to find that when is the vertex of a parabola the minimun point? When is it the…

Q: What is the (unsigned) distance between the vertex and the focus of the parabola given by (x + 4)² =…

A: Given parabola equation,x + 42 = 19y + 5

Q: find the vertex and the x-intercepts (If any) of the parabola. (If an answer does not exist, enter…

A: The function for the parabola is given by, y=3x2-8x-3

Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: graph the parabola f(x)=x^2-x-6 please step by step, show all your work please!!!

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

Q: Find the minimum value of the parabola using the following equation: f(x)=1/4(x+4)^2 +3 y = 4…

Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

Q: In the equation y =x³ - 3x² -24x + 6 the minimum point is said to be

Q: 3.The point of the parabola is (-2, -9). O A. minimum O B. narrower O C. maximum O D. wider

Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

Q: Which point on the graph of the parabola y 4x has the minimum distance between the graph and the…

Q: Draw the graph of a quadratic function that has a vertex at (−2,5) and has a y-intercept of 3. Make…

A: Quadratic function and it's graph

Q: A. y = x + 3 B. y = 0.5x? – 2 | C. y = 3(x + 2) D. y = -2x + 1

A: We know that the general equation of parabola is , y - k = a ( x - h )2

Q: "X" raised to two equal to sixteen times "y" is an upward parabola with vertex at the origin. (A)…

Q: h f(x) = 6x² or g(x) = -6x²,

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

Q: What is the maximum area of a rectangle that is above the X- axis and below the graph of the…

Q: maximum point of y x²-x-12 X+5

A: Maximum point of y is the point on the graph where y has the larger (maximum) coordinate than any…

Q: Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 6x…

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: Find the shorted distance from the point A(2, to a point on the parabola y = x². And find the point…

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

Q: Find the point on the parabola y=x^2 that is closest to the point (6,3) what is the distance between…

A: Given: To find the point on the parabola y=x2 that is closest to the point (6,3) what is the…

Q: Find the vertex and the x-intercepts (If any) of the parabola. (If an answer does not exist, enter…

A: The x intercept can be determine by outing y=0

Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

Q: Find the minimum distance from the point (4, 2) to the parabola y² = 8x. A 4/3 (B 2/2 /3 D 2/3

Q: Find the point on the parabola y 2 =2x that is closest to the point ( 1, 4)

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

Q: If the parabola whose equation is x = ay2 + by + c has its vertex at (3,2) and a> 0, then it has…

A: The given statement is that" if a parabola whose equation is x=ay2+by+c has its vertex at 3,2 then…

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

Q: Find the point on the parabola y=x2 closest to (6,3

Q: What point on the parabola y = 6 – x is closest to the point (6,6)?

Q: Find the minimum distance from the point (4, 2) to the parabola y2 = 8x. A 4/3 B) 2/7 © V3 D 2/3

Q: hello! can you help me with this algebra problem?

A: Let, quadratic function y = ax2+bx+c At x = 0, y = -4, we get -4 = a(0)2+b(0)+c c = -4

Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

Q: Find the shortest distance of the point (10,4) to the parabola y=x2

A: Consider a point on parabola y=x2. Distance of this point with (10,4) s2=(x-10)2+(y-4)2…

Q: Find the shortest distance of the point (6,3) to the parabola y=x2

Q: Sketch the graph of y = x 2 - 6x + 8 by plotting the roots and the minimum point.

A: For a quadratic equation of the form ax2 + bx + c = 0✦ a> 0 ⇒ parabola is concave upwards.✦ a…

Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

For g(x) = 3x^{2 - 12x + 6}

^{find values for the x-intercepts}

^{the y- intercepts}

^{the vertex}

^{axis of symmetry}

e. State the direction of the parabola.
f. Decide whether there is a relative maximum or minimum, then state it.
g. Graph the function accurately using the above information.
ex
2. For g(x)
3x2- 12x + 6, answer the following questions.
a. Find the values of the x-intercepts.
b. State the coordinates of the y-intercept.
c. State the vertex.
d. State the axis of symmetry.
e. State the direction of the parabola.
f. Decide whether there is a relative maximum or minimum, then state it
g. Graph the function accurately using the above information.
h. State the domain.
i. State the range.
j. State the interval of x where the graph is increasing.
k. State the interval of x where the graph is decreasing.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Parabolas$

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.

Similar questions

Find the intercepts of the parabola whose function is f(x)=3x2+4x+4.
Determine whether the graph of the parabola opens upward, downward, to the left, or to the right. (x2)2=(y+3):opens
Find the maximum or minimum value of the quadratic function g(x)=2x2+6x+3.
For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the x- and y-intercepts, and (e) the maximum or minimum value. 336. y=x24
A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
Find the intercepts of the parabola y=3x2+4x+4 .
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?