Question

Describe the transformations that took place from f(x) to g(x): g(x)= -f(2x)

Answer 1

Answer:

A reflection in the x-axis and a vertical stretch by a factor of ½.

Step-by-step explanation:

The parent function is f(x).

The transformed function is

$g(x) = - f(2x)$

The negative sign means a reflection in the x-axis.

The 2 multiplying inside means a horizontal stretch by a factor of

$\frac{1}{2}$

Therefore the transformation, is a reflection in the x-axis and a vertical stretch by a factor of ½.