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.

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.