Transformations of Quadratic Functions

Question 1

Which of the following transforms to the graph of ?

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B: a translation 5 units to the left

Question 2

The graph of y = –0.2x2 is the graph of y = x2.

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D: wider than and opens in the opposite direction of

Question 3

y = [___](x + [___])2 + [___]

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2, 3, -5

Question 4

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

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D: right

Question 5

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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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 6

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

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C: mc001-3.jpg

Question 7

The vertex of the graph of y = (x - 1)2 - 5 is The vertex of the graph of y = -4(x + 3)2 + 2 is

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: 1; : -5

Question 8

Form a perfect-square trinomial.y = x2 + 2x + [___] ⇒ 1 − 1− [___]

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1

Question 9

y = (x + [___] ⇒ 3)2 + [___]

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3, 1

Question 10

Form a perfect-square trinomial.

Revolt · Accepted Answer

4

Transformations of Quadratic Functions Answers

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