10. on a windy morning, a hot air balloon starts rising
and flying away from the top of a hill. the
altitude, h, in feet, of the balloon x hours after
starting its ascent from the hill, can be modeled by
the function

h(x) = -16x² + 64x + 80.

part a: what is the y-intercept for this function?
what does the y-intercept represent in the given
situation? use your equation to explain how you
found your answer.

part b: there is a positive and negative x
intercept for this function. what is the positive
x-intercept? explain what this x-intercept
represents in the given situation. show your work.