Chapter 2.3, Problem 1ED

Indicate how the graph of each function is related to the graph of the function $h\left(x\right)=x^2$. Find the highest or lowest point, whichever exists, on each graph.

(A) $f\left(x\right)={\left(x-3\right)}^2-7=x^2-6x+2$

(B) $g\left(x\right)=0.5{\left(x+2\right)}^2+3=0.5x^2+2x+5$

(C) $m\left(x\right)=-{\left(x-4\right)}^2+3=-x^2+8x-8$

(D) $n\left(x\right)=-3{\left(x+1\right)}^2-1=-3x^2-6x-4$