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.
q1: what is the football’s maximum height? round to the nearest tenth.
q2: how far is the football kicked?

The path of the football is an illustration of parabolas.

The function is given as:

(a) The maximum height

First, we differentiate the function with respect to x

Set the above equation to 0

Collect like terms

Divide both sides by -0.06

Substitute 25.5 for x in

Hence, the maximum height is:

(b) How far the football is kicked

Equate to 0

Now, we solve for x (i.e. the horizontal distance)

Divide both sides by -x

Divide both sides by 0.03

Hence, the football is kicked to 51 yards

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step-by-step explanation: