AnswersFL-1200330-Algebra 2 AThe Quadratic Formula

Transformations of Quadratic Functions Answers

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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
2
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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
3

Question text not available

Answer:

3

4

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Answer:

2

5

Write the equation of the function whose graph is shown.

Answers:
Blank 1:1
Blank 2:1
6

Write the equation of the function whose graph is shown.

Question illustration
Answers:
Blank 1:1
Blank 2:-5
Blank 3:3
7

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

A
up
B
down
C
left
D
✔ right
8

To obtain the graph of y = x2 - 6, shift the graph of y = x2 up✔ downleftright

A
up
B
✔ down
C
left
D
right
9

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 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).

10

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
11

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

Answers:
(:1
Blank 2:-5
12

Question text not available

Answers:
Blank 1:1
Blank 2:1
13

Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.

Answers:
Blank 1:3
Blank 2:1
14

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.
15

Form a perfect-square trinomial.

Answers:
Blank 1:
Blank 2:-32
16

Question text not available

Answer:

-5

17

units.

Answer:

8

18

units.

Answer:

6

19

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.
20

Question text not available

Answer:

1

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