Chapter 2.5, Problem 19AYU

In Problem 19-26, write the function whose graph is the graph of $y\text{ = }{x}^3$, but is:

Shifted to the right 4 units.

To determine

To find: The function which is shifted to the right 4 units whose graph is the graph of $y=x^3$.

Answer to Problem 19AYU

$\underset{\_}{y={\left(x-4\right)}^3}$

Explanation of Solution

Given:

$y=x^3$

To obtain the function which is shifted to the right 4 units.

Which means replace $x$ by $x-4$ from each $y\text{-coordinates}$ on the function $y=x^3$.

We get, $y={\left(x-4\right)}^3$.