Graphing Radical Functions

Question 1

The graph is shifted 7 units and 5 units .

Revolt · Accepted Answer

A: left

Question 2

What is the range of

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B:

Question 3

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

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A: reflected over the x-axis; C: translated 2 units right; D: compressed by a factor of 0.4

Question 4

The domain of is

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E: x >= 5.

Question 5

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

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B: right

Question 6

Which of the following graphs are identical?

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D: ; F:

Question 7

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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A:

Question 8

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.

Revolt · Accepted Answer

: 1; : 4

Question 9

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 = a =

Revolt · Accepted Answer

:  "1"; : 4

Question 10

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.

Revolt · Accepted 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

Graphing Radical Functions Answers

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