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

19.5 yds

Step-by-step explanation:

The equation used to represent the height of the football above the ground after moving a horizontal distance of x yards is expressed as

y = - 0.04x² + 1.56x

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the football.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = - 0.04

b = 1.56

Vertex = - 1.56/2 × - 0.04 = - 1.56/- 0.08 = 19.5 yards

Therefore, the approximate maximum height of the football is

19.5 yards

15.21 yd

Step-by-step explanation:

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