Graphing Radical Functions

Question 1

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

Factor −8 from the radicand to rewrite the function as y = −2∛(x + 1/2). This reflects the parent graph over the x-axis, stretches it vertically by a factor of 2, and shifts it 1/2 unit to the left.

Question 2

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 3

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

Revolt · Accepted Answer

reflected over the x-axis.

Question 4

Which of the following graphs have the same domain?

Revolt · Accepted Answer

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 5

The graph is shifted 7 units [___] and 5 units [___].

Revolt · Accepted Answer

up

Question 6

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

Revolt · Accepted Answer

y >= -1.

Question 7

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

Revolt · Accepted Answer

reflected over the x-axis.

Question 8

⇒ 4

Revolt · Accepted Answer

4

Question 9

Which is the graph of graph Agraph Bgraph Cgraph D

Revolt · Accepted Answer

graph A

Question 10

The graph has a vertical stretch by a factor of 1/3.compression by a factor of 1/3.stretch by a factor of 3.compression by a factor of 3.

Revolt · Accepted Answer

stretch by a factor of 3.

Graphing Radical Functions Answers

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