Question

Suppose f(x) is a function which is
even but then transformed to an odd function g(x) = af(kx − d) + c. What can you conclude about
a, k, d, and c. Justify your conclusion both algebraically and graphically.

I honestly have no idea how to answer this question because I believe there are multiple functions that are even but can be transformed into odd?

However I've been trying a few options but I can't figure out how to make any even functions odd. I'd appreciate your help!

Answer 1

Like y=x is odd and it can be transformed to even. But what's even that can be transformed into odd?

Answer 2

Oh! do you take the inverse of things? Like y=x^2 but then you change it to x=y^2. But then how do I describe that in comparison to a,k, d , and c?