Posted by Chris on Sunday, September 20, 2009 at 5:24pm.
I'm trying to describe how the graph is related to the parent function.
The parent function is x^3
and the problem is:
y=(0.8x)^3
I know its a reflection over the xaxis, but what is the formula for how much it expands or shrinks?
Like on another problem it's
y=x
and y= 0.2x
The answer is that it expands by 5, but I'm not exactly sure how to get it.
Thanks.

precalculus  MathMate, Sunday, September 20, 2009 at 5:37pm
(0.8x)^3 is stretching in the xaxis by a factor of (1/0.8) and as you noted, a reflection about the xaxis.
When ever the function f(x) is mapped to another by f(kx), it is stretching or contracting by a factor of (1/k). (1/k)>1 is a stretching, and (1/k)<1 is contracting.

precalculus more  MathMate, Sunday, September 20, 2009 at 5:39pm
The stretching factor (1/k) applies to the xdirection only.
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