Question

Describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation.. Be sure to include labels for the increments on your x and y axis. Take a picture of that written work and upload it when submitting your answer. You may want to create a table of values to help you graph the function.p(x)=(\frac {1}{3}x)^3-3

Answer 1

Given the function:

$p(x)=(\frac{1}{3}x)^3-3$

The parent function to the given function is f(x) = x³

To get the function p(x) from f(x), we will perform the following translations:

1) Horizontal stretch with a factor of 1/3

2) Shift downward 3 units

The graph of f(x) and p(x) will be as shown in the following picture: