Question

In Problems $19-26,$write the function whose graph is the graph of $y=x^3$but is:

Shifted to the left $4$units

Short answer

The function is$y={(x+4)}^3.$

Step-by-step solution

Step 1. Given Information 

It is given that the function whose graph is the graph of $y=x^3$but it is shifted to the left by$4$ units.

Step 2. Stating the function of the graph 

If the argument xof a function f is replaced by $x+h,h>0,$the graph of the new function $y=f(x+h)$ is the graph of fshifted horizontally left hunits.

Since the graph is shifted to the left by $4$units, the function of the graph is$y={(x+4)}^3.$