Respuesta :

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

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.

The cube root function is given by:

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

The changes are as follows:

  • Shifted one unit down, hence 1 is subtracted from the function.
  • Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.

Hence, the equation is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

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

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