Question

If the parent function f(x) = (2x − 3)3 is transformed to g(x) = (-2x + 3)3, which type of transformation occurs?

Answer 1

it reflect over y axis.

Explanation

Given: If the parent function f(x) = (2x − 3)³ is transformed to g(x) = (-2x + 3)³.

To find: Which type of transformation occurs.

Solution: We have given that

parent function f(x) = (2x − 3)³ .

transformed to g(x) = (-2x + 3)³.

By the transformation rule ; f(x)→→ f(-x) it mean function is reflect over y axis.

We can see from given functions g(x) →→ f(-x).

Therefore, it reflect over y axis.