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 $h ( x ) = - 16 x ^ { 2 } + 45 x$, where $x$ is the number of seconds the ball has been in flight. Graph this function and find the $x$-value for which the maximum height of the ball is attained. Round your answer to the hundredths place.
A) $1.41$
B) $1.30$
C) $1.68$
D) $1.53$

Question

Quizplus · Accepted Answer

The maximum height of the ball is attained at the vertex of the parabola. The $x$-coordinate of the vertex is given by $x = -b/2a$, where $a$ and $b$ are the coefficients of the quadratic function. In this case, $a = -16$ and $b = 45$, so the $x$-coordinate of the vertex is $x = -45/2(-16) = 1.40625$. Rounding to the hundredths place, the answer is $1.41$.

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

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