Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) 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 punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
