Answer:
2.75 seconds and 133 feet
Step-by-step explanation:
We require to find the coordinates of the vertex of the parabola
the t coordinate ( time ) for a quadratic in standard form is
= -
with a = - 16 and b = 88
t = - = 2.75 seconds ← time taken to reach max
to find the max height evaluate f(2.75 )
f(2.75 ) = - 16( 2.75)² + 88(2.75) + 12 = - 121 + 242 + 12 = 133 feet