Write a function for the tranformations described below:
"The cubic function shifts 7 units right and 5 units up."



Answer :

The equation of the transformation is y = ∛(x - 7) + 5

How to determine the equation of the transformation?

From the question, we have the following transformation statement that can be used in our computation:

"The cubic function shifts 7 units right and 5 units up."

The representation of a cubic function is:

y = ∛x

And, the transformations are given as

  • Shifts 7 units right
  • Shift 5 units up

These transformations can be represented as

(x, y) = (x - 7, y + 5)

So, we have the following equation

y = ∛(x - 7) + 5

Hence, the function after the transformation has an equation of y = ∛(x - 7) + 5

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