The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizontal distance in yards and y is the corresponding height in yards.

What is the football’s maximum height? Round to the nearest tenth

Question

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizontal distance in yards and y is the corresponding height in yards.

What is the football’s maximum height? Round to the nearest tenth

campbell_st · Answer

ok... is this a calculus or algebra question..?

anonymous · Answer

algebra

anonymous · Answer

We can find the max by completing the square

anonymous · Answer

Ax$$a x^{2} + bx + c$$

anonymous · Answer

Note that the equation is quadratic

anonymous · Answer

F(x) = a(x-h)^2+ K  H,K is your vertx 

Once we complete the square we have 
F(x) = -.03(x-25.5)^2 + 0
Maximum at (25.5,0)
so the max is 25.5 yards

anonymous · Answer

what answer did you get for the second question?