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Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k

Answer :

Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:

  • The function is shifted h units to the right.
  • The function is shift k units up.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we consider the parent cube root function as follows:

[tex]y = \sqrt[3]{x}[/tex]

Then, these following changes happened:

  • x -> x - h, which means that the function was shifted h units to the right.
  • y -> y + k, which means that the function was shifted k units up.

More can be learned about translation concepts at https://brainly.com/question/4521517

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