Question

Point (-6,12) is on the graph of y=f(x). Find a point on the transformed function y=-2f(x-1)

a)(-7,-24)
b)(-5,-6)
c)(-5,-24)
d)(-7,-6)

Answer 1

In general, you can translate the graph of a function to the right (+x direction) by h if you transform the function from f(x) to f(x-h).

A reflection about the x-axis is done by transforming from f(x) to -f(x).

A stretching by a factor of k in the y-direction requires a transformation of f(x) to k.f(x). For example, a stretching of twice in the y-direction would require a transformaton from f(x) to 2f(x).

The given transformation is a combination of all of the three transformations above.

Send in your answer for a check if you wish.

Answer 2

18