Chapter 2.5, Problem 20AYU

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

Shifted to the left 4 units.

To determine

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

Answer to Problem 20AYU

$y={\left(x+4\right)}^3$

Explanation of Solution

Given:

$y=x^3$

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

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

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