AnswersFL-1200330-Algebra 2 CRGraphing Radical Functions

Graphing Radical Functions Answers

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Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. Then, determine the values of a, h, and k in the general equation.

Answers:
Blank 1:1
Blank 2:4
2
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leftrightupdown

A
left
B
right
C
up
D
down
3

Which is the graph of graph Agraph Bgraph Cgraph D

A
graph A
B
graph B
C
graph C
D
graph D
4

The function is represented by graph

Question illustration
A
A.
B
B.
C
C.
D
D.
5

leftrightupdown

A
left
B
right
C
up
D
down
6

What is the domain of

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

A
all real numbers.
B
>= -5.
C
>= -1.
D
>= 1.
E
>= 5.
9

Describe how the graph of the parent function y = StartRoot x EndRoot is transformed when graphing y = negative 3 StartRoot x minus 6 EndRoot The graph is translated 6 units leftrightupdown.

Question illustration
A
left
B
right
C
up
D
down
10

Which of the following graphs are identical?

A
Option
B
Option
C
Option
D
Option
E
Option
F
Option
11

Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of and a shift downward of 4 units?

Question illustration
A
Option
B
Option
C
Option
D
Option
12

h = [___]

Question illustration
Answer:

-3

13

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.

14

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.
15

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
16

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
17

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
18

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.
19

Describe how the graph of the parent function is transformed when graphing The graph is translated 6 units left✔ rightupdown.

Question illustration
A
left
B
✔ right
C
up
D
down
20

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

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