AnswersFL-1200330-Algebra 2 Sem 1 - FlexTransformations of Quadratic Functions

Transformations of Quadratic Functions Answers

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21
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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.
22
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Which of the following transforms [image 1] to the graph of [image 2] ?

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
23

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 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
25

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
26

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

Answer:

y = (x - 5)^2 + 3

27

units.

Answer:

8

28

units.

Answer:

6

29

).

Answer not available
30

).

Answer not available
31

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

Answer not available
32

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

Answer not available
33

y = 8(x2 + 4x + [___]) + 17 + [___]

Answer not available
34

).

Answer:

-5

38

Which of the following transforms the graph of [image 1] to the graph of [image 2] ?

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
39

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
40

units.

Answer:

8

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