Graphs of Square and Cube Root Functions

Which function matches the graph?

What is the Domain for the graph?

Answer explanation

The domain will be all possible x-values that are greater than the initial point. The x-value of the initial point is -4, so the domain will be all x-values greater than -4.

The domain is defined as all the inputs that are accepted by the function. All possible x-values are the inputs.

Which function matches the graph?

Which function matches the graph?

• A

  f(x) = ∛(x + 3) + 2

• B

  f(x) = − ∛(x - 3) + 2

• C

  f(x) = ∛(x - 3) + 2

• D

  f(x) = ∛(x - 2) + 3

Which function matches the graph?

Which of these equations shifts a radical equation left 3 times?

Name the parent function shown

• cube root

• quadratic

• cubic

• square root

• linear

Describe the transformation.

Evaluate responses using AI:

OFF

Answer explanation

A negative in front of the square root transforms the graph as a reflection over the x-axis.

h=0, k=0, a=1. There are no other transformations of the graph.

Which of these equations shifts a radical equation right 5 times and down once?

Which of the following is the function shown in the graph?