Chapter 2.5, Problem 22AYU

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

Shifted down 4 units.

To determine

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

Answer to Problem 22AYU

$y=x^3-4$

Explanation of Solution

Given:

$y=x^3$

To obtain the function which is shifted up 4 units.

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

We get, $y=x^3-4$.