Question

Describe how a formula is a transformation of a tool kit function.Then sketch a graph of a transformation.Be sure to include labels for the increments on your x and Y axis.

Answer 1

`p(x)=((1)/(3)x)^3-3`

p(x) is a cubic polynomial, then if might be expressed as a transformation os a cubic function f(x) = x³.

This transformation is given by:

`p(x)=f((1)/(3)x)-3=((1)/(3)x)^3-3`

Therefore, p(x) is the function f(x) translated 3 units down and widered by a factor of 1/3.

The graph of f(x) and p(x) is shown below: