Question 1176636
set the equation equal to 185, BUT the middle term is the speed of the golfball off the club, and that can't be negative. I will call it +40t
so 
y=-5t^2-40t+100=185
-5t^2+40t-85=0
divide by -5
t^2-8t+17=0
t=(1/2)(8+/- sqrt (64-68)); complex solution. No, it will not hit them.
vertex is at t=-8/-2 or 4 sec
y(4)=-80+160+100=180 m

The curve to the left with vertex at x=-4 is the equation given.

{{{graph(300,300,-10,10,-25,225,-5x^2+40x+100,185,-5x^2-40x+100)}}}