AnswersFL-1200330-Algebra 2 CRGraphing Radical Functions

Graphing Radical Functions Answers

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What is the domain of

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Option A
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Option B
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Option C
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all real numbers
Option D
4

What is the range of

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Option A
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Option C
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all real numbers
Option D
5

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
6

The domain of is

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all real numbers.
B
x >= -5.
C
x >= -1.
D
x >= 1.
E
x >= 5.
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The range of is all real numbers.y >= -5.✔ y >= -1.y >= 1.y >= 5.

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

Which of the following graphs are identical?

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Option A
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Option B
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Option C
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Option D
E
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Option E
F
Option
Option F
10

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?

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mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
11

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. h = k =

Answers:
Part 1:1
Part 2:4
12

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.

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Answer:

To determine the transformation of the parent function, first rewrite the given function by factoring − 8 −8 from the radicand. Taking the cube root of − 8 −8 allows you to place − 2 −2 in front of the radical symbol, which makes it easier to see the transformations. Compared to the parent cube root function, the graph is reflected over both the x-axis and the y-axis due to the negative factors. It is also vertically stretched by a factor of 2, making it steeper than the parent function. Finally, the graph is translated 1 2 2 1 ​ unit to the left, shifting it slightly along the x-axis. This rewritten form allows you to clearly identify all the transformations applied to the parent function

13

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14

Which of the following graphs have the same domain?

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Option A
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Option
Option B
C
Option
Option C
D
Option
Option D
15

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
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
16

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17

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.
18

Which is the graph of

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graph A
B
graph B
C
graph C
D
graph D
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