Question

Determine the effects on the graph of the parent function ƒ(x) = x for the g(x) function.

Answer 1

Answer:

We can define a horizontal dilation/contraction of scale factor A, as:

g(x) = f(x*A)

if A > 1, this will be a contraction (it will be steeper)

if  0 < A < 1, this will be a dilation. (it will be less steep)

Then if we have:

g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.

Below, you can see how the graphs change, where:

Blue is f(x)  =x

green is g(x) = f(6*x) = 6*x