Q. 26 - Precalculus Enhanced with Graphing Utilities

Question

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

Horizontally stretched by a factor of $4$.

Step-by-Step Solution

Answer

The function is $y=\frac{x^3}{4}$

Step 1. Given information

The given function is $y=x^3$

Step 2. Find the function for horizontally stretched by a factor of 4 .

If the function $y=f\left(x\right)$ is horizontally stretched by the factor of $k$, then the new function will be $y=\frac{1}{k}·f\left(x\right)$

Therefore, the new function is $y=\frac{x^3}{4}$