Graphing Radical Functions

Question 1

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

Revolt · Accepted Answer

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

Question 2

leftright✔ updown

Revolt · Accepted Answer

✔ up

Question 3

Question 3

Revolt · Accepted Answer

2

Question 4

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

Revolt · Accepted Answer

✔ left; The graph is shifted 7 units and 5 units .: left; The graph is shifted 7 units and 5 units .: up

Question 5

What is the domain of

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-09-01-20-01-task/mc001-4.jpg

Question 6

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?

Revolt · Accepted Answer

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

Question 7

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

-3; 2

Question 8

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

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.

Question 9

Reread your description. Did it include the following?

Revolt · Accepted Answer

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 10

What is the range of

Revolt · Accepted Answer

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

Graphing Radical Functions Answers

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