Transformations of Quadratic Functions Answers

44 verified answers1 views
1
Free Preview

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

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
2
Free Preview

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

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
3

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

Answer:

y = (x - 5)^2 + 3

4

units.

Answer:

6

5

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
6

⇒ 1

Question illustration
Answer:

1

13

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.
14

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
15

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

Answer:

y = (x - 5)^2 + 3

16

units.

Answer:

8

17

).

Answer not available
18

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

Answer not available
19

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

Answer not available
20

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

Answer not available

Did you find these answers helpful?