Graphing Radical Functions Answers

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22
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Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function.

Question illustration
Answer:

Rewrite the function as y = -2∛(x + 1/2). The graph is translated 1/2 unit to the left, reflected over the x-axis, and vertically stretched by a factor of 2.

23

Reread your description. Did it include the following?

A
Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.
B
The graph is reflected over the x-axis.
C
The graph is also reflected over the y-axis.
D
The graph is vertically stretched by a factor of 2.
E
The graph is translated ½ unit to the left.
24

The range of is all real numbers.y >= -5.y >= -1.y >= 1.y >= 5.

A
all real numbers.
B
y >= -5.
C
y >= -1.
D
y >= 1.
E
y >= 5.
25

The graph is not reflected.reflected over the x-axis.reflected over the y-axis.

A
not reflected.
B
reflected over the x-axis.
C
reflected over the y-axis.
27

Compared with the graph of the parent function, which equation shows a vertical stretch by a factor of 6, a shift of 7 units right, and a reflection over the x-axis?

A
Option
B
Option
C
Option
D
Option
28

k = [___]

Answer:

2

29

leftrightupdown

A
left
B
right
C
up
D
down
30

leftright✔ updown

A
left
B
right
C
✔ up
D
down
31

What is the range of

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
all real numbers
Option D
32

The range of is all real numbers.y >= -5.✔ y >= -1.y >= 1.y >= 5.

Question illustration
A
all real numbers.
B
y >= -5.
C
✔ y >= -1.
D
y >= 1.
E
y >= 5.
33

The graph is not reflected.✔ reflected over the x-axis.reflected over the y-axis.

A
not reflected.
B
✔ reflected over the x-axis.
C
reflected over the y-axis.
34

Which of the following graphs have the same domain?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
36

⇒ 4

Answer:

4

37

The graph has a vertical stretch by a factor of 1/3.compression by a factor of 1/3.stretch by a factor of 3.compression by a factor of 3.

A
stretch by a factor of 1/3.
B
compression by a factor of 1/3.
C
stretch by a factor of 3.
D
compression by a factor of 3.
38

a = [___]

Answer:

2

39

The graph has a vertical stretch by a factor of 1/3.compression by a factor of 1/3.✔ stretch by a factor of 3.compression by a factor of 3.

A
stretch by a factor of 1/3.
B
compression by a factor of 1/3.
C
✔ stretch by a factor of 3.
D
compression by a factor of 3.

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