Transformations of Quadratic Functions

Question 1

Which of the following transforms to the graph of ?

Revolt · Accepted Answer

a translation 5 units to the left

Question 2

Which of the following transforms the graph of to the graph of ?

Revolt · Accepted Answer

translation 7 units down

Question 3

The graph of y = –0.2x2 is narrower than and opens in the same direction as wider than and opens in the same direction asnarrower than and opens in the opposite direction of✔ wider than and opens in the opposite direction of the graph of y = x2.

Revolt · Accepted Answer

wider than and opens in the opposite direction of

Question 4

The graph of y = 5x2 is ✔ narrower than and opens in the same direction aswider than and opens in the same direction asnarrower than and opens in the opposite direction ofwider than and opens in the opposite direction of the graph of y = x2.

Revolt · Accepted Answer

narrower than and opens in the same direction as

Question 5

Write the equation of the function whose graph is shown. y = ⇒ 1(x + ⇒ -5)2 + ⇒ 3

Revolt · Accepted Answer

⇒ 1: y = (x - 5)^2 + 3; ⇒ -5: y = (x - 5)^2 + 3; ⇒ 3: y = (x - 5)^2 + 3

Question 6

To obtain the graph of y = (x - 8)2, shift the graph of y = x2

Revolt · Accepted Answer

right

Question 7

units.

Revolt · Accepted Answer

PENDING

Question 8

Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2.

Revolt · Accepted Answer

To determine the path of the ball, first complete the square to rewrite the quadratic equation in vertex form, y = a(x - h)^2 + k. For the equation y = -16(x - 1)^2 + 19, the transformations include a reflection across the x-axis and a vertical stretch that makes the graph narrower because a = -16. Additionally, identify the translations: the graph is shifted 1 unit to the right (h = 1) and 19 units up (k = 19).

Question 9

Which of the following did you include in your explanation? Check all of the boxes that apply.

Revolt · Accepted Answer

Complete the square to write the equation in vertex form: y = -16(x - 1)2 + 19.; Suggest that the graph of the parent function is narrowed, reflected across the x-axis, and then translated 1 unit to the right and 19 units up.

Question 10

Which of following is the graph of y = -(x + 1)2 -3?

Revolt · Accepted Answer

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Transformations of Quadratic Functions Answers

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