Can you find a formula for the shot by lining up the curve with the basketballs? What's the formula?
What do the parameters h and k tell you about the curve in formula above?
What's the highest possible value of the expression [math]-\left(x-5\right)^2[/math]? Explain.
What's the highest possible value of the expression [math]-\left(x-5\right)^2+8[/math]? Explain.
Explain why the graph [math]f\left(x\right)=-\left(x-5\right)^2+8[/math] reaches its highest point at (5, 8).