Chapter 2.5, Problem 23AYU

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

Reflected about the $y\text{-axis}$.

To determine

To find: The function which is reflected about the $y\text{-axis}$ whose graph is the graph of $y=x^3$.

Answer to Problem 23AYU

$y=-x^3$

Explanation of Solution

Given:

$y=x^3$

To obtain the function which is reflected about the $y\text{-axis}$.

Which means replace $x$ by $-x$ on the function $y=x^3$.

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