Question

Toni wants to horizontally compress the function f(x) = (x - 3)^3 + 4 by a factor of 1. Which of the following algebraic descriptions best represents her new function g(x)?

Answer 1

Toni's new function g(x) remains the same as f(x) = (x - 3)^3 + 4 because a horizontal compression by a factor of 1 does not alter the function.

Step-by-step explanation:

To horizontally compress the function f(x) = (x - 3)^3 + 4 by a factor of 1, Toni should transform the function such that each x coordinate in the original function is multiplied by the inverse of the compression factor. Since the compression factor is 1, this would not result in any change to the x-coordinates, implying that Toni's new function g(x) is effectively the same as the original function f(x). Therefore, the algebraic description that best represents her new function g(x) is indeed f(x) = (x - 3)^3 + 4.