Explain how the graph of $f(x)=-(x-2)^2+5$ can be obtained from the graph of $g(x)=x^2$. Sketch the graph of $f(x)$.

QUESTION:
Explain how the graph of $f(x)=-(x-2)^2+5$ can be obtained from the graph of $g(x)=x^2$.
Sketch the graph of $f(x)$.

SOLUTION