Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $h ( t ) = - 16 t ^ { 2 } + 64 t + 35$

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 35 feet high. The height of the arrow is given by the function $h ( t ) = - 16 t ^ { 2 } + 64 t + 35$ , where $t$ is the time is seconds. What is the maximum height of the arrow?

A) $99 \mathrm { ft }$
B) $64 \mathrm { ft }$
C) $31 \mathrm { ft }$
D) $35 \mathrm { ft }$