AnswersFL-1200330-Algebra 2 CRTransformations of Quadratic Functions

[DPS] Transformations of Quadratic Functions Answers

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1
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Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2.

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).

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

A
Complete the square to write the equation in vertex form: y = -16(x - 1)2 + 19.
B
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.
3

Write in vertex form.

Answers:
Blank 1:2
Blank 2:-15
4

).

Answer:

2

6

Form a perfect-square trinomial.

Answers:
Blank 1:4
Blank 2:-32
8

Question text not available

Answers:
Blank 1:PENDING
Blank 2:1
9

⇒ 3

Answer:

3, 1

10

Form a perfect-square trinomial.

Answers:
Blank 1:4
Blank 2:-32
11

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.

A
The vertex is (1, -9).
B
The graph opens upward.
C
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
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.
12

Which of the following transforms to the graph of ?

Question illustration
A
a translation 5 units to the right
B
a translation 5 units to the left
C
a translation 5 units down
D
a translation 5 units up
13

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.

A
narrower than and opens in the same direction as
B
wider than and opens in the same direction as
C
narrower than and opens in the opposite direction of
D
wider than and opens in the opposite direction of
15

).

Answer:

-5

19

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

Question illustration
A
a translation 7 units to the right
B
a translation 7 units to the left
C
translation 7 units down
D
a translation 7 units up
20

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.

A
narrower than and opens in the same direction as
B
wider than and opens in the same direction as
C
narrower than and opens in the opposite direction of
D
wider than and opens in the opposite direction of

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