Question

Consider the quadratic equation f(x)=2x-x^2. Express f in vertex form. Find the extreme value of f(x) and classify it as a local maximum or local minimum

Answer 1

f'(x)=2-2x=0--->x=1
f''(x)=-2<0 (concave down)
so f(1) is a maximum

I don't remember what vertex form is.

Answer 2

f(1)=1
by the way; that's the answer to your question.