Write a function g that models the path of the object the second time it's dropped

Question

The height h (in feet) of an object dropped from a window after x seconds can be modeled by h(x)=-16x²+64. The object is dropped a second time so that it hits the ground 1.5 secs sooner.

Answer 1

The object is dropped a second time so that it hits the ground 1.5 secs sooner implies

g(x) is h(x) shifted left by 1.5 seconds.

 

g(x) = h(x+1.5)

       = -16(x + 1.5)² + 64

 

Or

g(x) = -16x² + 3x + 61.75