baseball is hit at a height of 3 feet above the ground. At a horizontal distance of 210 feet from home plate, the ball reaches its maximum height of 60 feet.

Question

a)write a quadratic function to represent the height of the baseball as a function of it's distance from home plate

B)determine the height of the baseball when it is 180 feet from home plate. round the answer to the nearest 10th

Answer 1

The vertex is on the axis of symmetry, so
h(x) = a(x-210)^2 + k
You know that
h(210) = 60, so k=60
h(0) = 3, so that lets you find a
Now use that to answer (b)