Graphing Radical Functions

Question 1

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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Answer image: //media.edgenuity.com/EVresources/3111-09-01-20-06-task/mc001-2.jpg

Question 2

Reread your description. Did it include the following?

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

Question 3

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 =

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1; 4

Question 4

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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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

Question 5

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

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y >= -1.

Question 6

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

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reflected over the x-axis.

Question 7

Which of the following graphs have the same domain?

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Answer image: https://media.edgenuity.com/EVresources/3111-09-01-20-05-task/mr002-1.jpg; Answer image: https://media.edgenuity.com/EVresources/3111-09-01-20-05-task/mr002-3.jpg; Answer image: https://media.edgenuity.com/EVresources/3111-09-01-20-05-task/mr002-4.jpg

Question 8

k = [___]

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2

Question 9

leftright✔ updown

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✔ up

Question 10

What is the range of

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Answer image: //media.edgenuity.com/EVresources/3111-09-01-20-01-task/mc002-3.jpg

Graphing Radical Functions Answers

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