Q. 22 - Precalculus Enhanced with Graphing Utilities

Question

Write the function whose graph is the graph of $y=x^3$, but is:

Shifted down $4$ units.

Step-by-Step Solution

Answer

The function is $y=x^3-4$

Step 1. Given function

The given function is $y=x^3$

Step 2. Find the function for graph shifted down 4 units.

If the graph is shifted down by $k$ units that means $k$ is subtracted to the right side of the function.

Therefore, the new function will be $y=x^3-4$