Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.
Identify a reflection across the x-axis from a transformed quadratic or absolute-value function
Problem
Identify the reflection shown in \(g(x)=-x^2\) compared with the parent quadratic \(f(x)=x^2\).
Big Picture
What this problem is really about
A negative sign outside the function negates completed outputs while preserving inputs. We’ll translate that rule into the point mapping from y to negative y, identify the corresponding reflection and opening reversal, and check one parent point against its transformed partner.
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