Question

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

Answer 1

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

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

`(1)/(2)`

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