[DPS] Transformations of Quadratic Functions

Question 1

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 xaxis 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 2

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

Revolt · Accepted Answer

C:

Question 3

Form a perfect-square trinomial.

Revolt · Accepted Answer

: 4; : -32

Question 4

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

Revolt · Accepted Answer

: PENDING; : -5

Question 5

Question 5

Revolt · Accepted Answer

: PENDING; : 1

Question 6

⇒ 3

Revolt · Accepted Answer

3, 1

Question 7

Form a perfect-square trinomial.

Revolt · Accepted Answer

: 4; : -32

Question 8

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9? Check all of the boxes that apply.

Revolt · Accepted Answer

B: The graph opens upward.; D: The graph is narrower than the graph of f(x) = x2.; E: The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Question 9

Which of the following transforms to the graph of ?

Revolt · Accepted Answer

B: a translation 5 units to the left

Question 10

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

D: wider than and opens in the opposite direction of

[DPS] Transformations of Quadratic Functions Answers

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