Question

If the function f(x)=(2x-3)^3 is transformed to g(x)=(-2x-3)^3 , Wichita type of transformation occurred?

Answer 1

Answer: Reflection across the x-axis.

Step-by-step explanation:

The correct exercise is: The correct exercise is: "If the parent function$f(x) = (2x - 3)^3$ is transformed to $g(x) = (-2x + 3)^3$ , which type of transformation occurs?

"

There are several transformations for a function f(x). Two of those transformations are shown below:

1. If $-f(x)$, then the function is reflected across the x-axis.

2. If $f(-x)$, then the function is reflected across the y-axis.

In this case, the exercise provides you the following function f(x):

$f(x) = (2x - 3)^3$

And you know that the function g(x) is obtained by transforming the function f(x). The function g(x)  is:

 $g(x) = (-2x + 3)^3$

Which can written as:

$g(x) = -(2x - 3)^3$

 Therefore, you can identify (based on the transformations shown at the beginning of the explanation), that:

$g(x)= -f(x)$

Therefore, the function   $g(x) = (-2x + 3)^3$  is obtained by reflecting the function  $f(x) = (2x - 3)^3$  across the x-axis.