What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

an athlete whose event is the shot put releases a shot. when the shot whose path is shown by the graph to the right is released at an angle of 65°, its height, f(x), in feet, can be modeled by f(x)=-0,04x^2+2.1x+5.2, where x is the shot's horizontal distance, in feet, from its point of release, use this model to solve parts (a) through (c) a. what is the maximum height of the shot and how far from its point of release does this occur?  b. what is the shot's maxium horizontal distance, to the nearest tenth of a foot, or the distanxe of the throw?  c. from what height was the shot released?

Determine the maximum area of a rectangle with one side on the -axis and the opposite corners touching the parabola y = x ^ 2 + 9