Why does the curve g(x)=3 f((x/2)-1)-3 look like a sawtooth? What in that notation makes it oscillate?

Question

Why does the curve g(x)=3 f((x/2)-1)-3 look like a sawtooth?  What in that notation makes it oscillate?

anonymous · Answer

ah I get it now - was missing a piece ... in the previous part of the question they define f(x) as a piecewise linear function with the shape of a sawtooth... then it asks you to draw g(x) which is just 3 ( f(x/2)-1)-3 ... so we are expected to increase the amplitude of f(x) by 3, reduce the period by 1/2 and move the curve right 4...

anonymous · Answer

oh - wait - increasing the period by 2 (i.e. dividing it by 1/2).

anonymous · Answer

I am not 100% sure on the shift right by 4 ...

anonymous · Answer

If f(x9 is piecewise, you should have some pieces, at least 2....

anonymous · Answer

f(x), I mean.