Please help me with this

Question

Function , which gives the height in feet of ℎ(𝑡)=―16𝑡²+64𝑡+80projectile t seconds after it is launched. Find the vertex of its parabola, which gives the maximum height of the projectile, and use that to identify the range.

Answer 1

ℎ(𝑡)=―16𝑡²+64𝑡+80

t=-b/2a=-64/(-16)(2)= 2 sec

maximum height

h(2)= -16(2)^2+64(2)+80 = 144 ft

vertex of parabola

(2,144)

range

(-inf, 144]