AnswersFL-1200330-Algebra 2 CREvaluating Logarithmic Expressions

Graphing Radical Functions Answers

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Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

Answers:
The graph is shifted 7 units and 5 units .:left
The graph is shifted 7 units and 5 units .:up
2
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leftright✔ updown

A
left
B
right
C
✔ up
D
down
3

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.
5

Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

Answers:
The graph is shifted 7 units and 5 units .:left
The graph is shifted 7 units and 5 units .:up
6

What is the domain of

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
all real numbers
Option D
7

Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.

A
reflected over the x-axis
B
translated 2 units left
C
translated 2 units right
D
compressed by a factor of 0.4
E
stretched by a factor of 0.4
F
translated 2 units up
G
translated 2 units down
8

The domain of is all real numbers.x >= -5.x >= -1.x >= 1.✔ x >= 5.

Question illustration
A
all real numbers.
B
x >= -5.
C
x >= -1.
D
x >= 1.
E
✔ x >= 5.
9

Which is the graph of

Question illustration
A
graph A
B
graph B
C
graph C
D
graph D
11

Which of the following graphs are identical?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
14

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:

Factor −8 from the radicand to rewrite the function as y = −2∛(x + 1/2). This reflects the parent graph over the x-axis, stretches it vertically by a factor of 2, and shifts it 1/2 unit to the left.

15

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.
16

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
17

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.
18

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.

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