If the function h (x) Is defined as vertical stretch by a factor of 2 followed by a reflection in the X-axis of the function F (x) then h (x) =

A) 2f (-x)

B) 1/2 f (x)

C) - 1/2 f (x)

D) - 2f (x)

Answer: C) - 1/2 f (x)

Step-by-step explanation:

vertical stretch by a factor of 2 means that the stretch occured at Y - axis.

Then h (x) will transform to 2h (x)

It followed by a reflection in the X-axis of the function F (x)

Then 2h (x) will transform to - 2h (x)

Where F (x) = - 2h (x)

Make h (x) the subject of the formula

h (x) = - 1/2f (x)

C is the correct answer