Question

The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x2 + 1.56x, where x is the

horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the
football?
15.21 yd
19.5 yd
38.94 yd
45.63 yd

Answer 1

45.63

Explanation:

Answer 2

19.5 yd

Explanation:

To khown the maximum height we must derivate the function and see when the derivated function equals 0

Let f be our function : f(x)= -0.04x²+1.56x ⇒f'(x)= -0.08x+1.56

• f'(x)= 0 ⇒ -0.08x+1.56 =0 ⇒1.56= 0.08 ⇒ x= 1.56/0.08 ⇒ x=19.5
• so the maximum height is 19.5 yd