Question

Given the parent function f(x) = x2, write the function with the following transformation.

Horizontal compression of 1/8.

Answer 1

To horizontally compress the parent function f(x) = x^2 by a factor of 1/8, the transformed function is f(x) = 64x^2.

Step-by-step explanation:

To apply a horizontal compression of 1/8 to the parent function f(x) = x2, we need to multiply the input variable x by the reciprocal of the compression factor.

In this case, the reciprocal of 1/8 is 8.

Therefore, the transformed function is f(x) = (8x)2 or f(x) = 64x2.