AnswersFL-1200330-Algebra 2 ATransformations of Quadratic Functions

Transformations of Quadratic Functions Answers

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).

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3

Factor the perfect-square trinomial in y = (x2 + 2x + 1) − 1− 1.y = (x + [___])2 − 1 −1

Answer not available
4

Simplify.y = (x + 1)2 − [___]

Answer not available
8

).

Answers:
Part 1:-3
Part 2:2
12

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.
13

).

Answer not available
14

Write in vertex form. y = 8(x + ⇒ 2)2 + ⇒ -15

Answers:
⇒ 2:2, -15
⇒ -15:2, -15
15

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
16

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
19

The graph of y = –0.2x2 is 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
20

The graph of y = 5x2 is 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
23

Write the equation of the function whose graph is shown. y = (x + ⇒ -5)2 + ⇒ 3

Answers:
Part 1:1
⇒ -5:y = (x - 5)^2 + 3
⇒ 3:y = (x - 5)^2 + 3
24

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