Solve the Problem $h$ , Above the Ground in Feet Is Given by the Air

Multiple Choice

Solve the problem.
-A ball is shot up in the air and its height, $h$ , above the ground in feet is given by the function $h ( x ) = - 16 x ^ { 2 } + 46 x$ , where $x$ is the number of seconds the ball has been in flight. Graph this function and find the maximum height that the ball attains. Round your answer to the hundredths place.

A) $30.49$
B) $33.06$
C) $34.00$
D) $34.40$