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 ?

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translation 7 units down

Question 3

units.

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6

Question 4

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 5

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

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right

Question 6

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

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/Explanation: Complete the square to get the equation in vertex form with a = -16, h = 1, and k = 19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units. Which of the following did you include in your explanation? Check all of the boxes that apply.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 7

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

Revolt · Accepted Answer

mc001-3.jpg

Question 8

The vertex of the graph of y = (x - 1)2 - 5 is (, ).

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Part 1: 1; Part 2: -5

Question 9

Form a perfect-square trinomial.y = x2 + 2x + − 1−

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Part 1: 1; Part 2: 1

Question 10

Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form. y = (x + )2 +

Revolt · Accepted Answer

Part 1: 3; Part 2: 1

Transformations of Quadratic Functions Answers

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