Question

Hi boys can you help me pls!!!!!!!

Rowan tosses a ball toward his opponent during a game of table tennis. Function h demonstrates the height of the ball, in meters, when it is a distance x meters away from Rowan.


h(x)=-1/4x^2+1/2x+1/2


Select the statement that accurately describes the maximum point of the graph modeling the height of the ball.


A.

The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.

B.

The maximum height of the ball is 1 meter, which occurs when it is approximately 2.73 meters away from Rowan.

C.

The maximum height of the ball is 1 meter, which occurs when it is approximately 0.75 of a meter away from Rowan.

D.

The maximum height of the ball is 2.73 meters, which occurs when it is approximately 1 meter away from Rowan.

Answer 1

You would want the vertex of the parabola.

x value of the vertex = -b/2a = 1 (in this case)

This means that the ball is 1 meter away from Rowan when it is at its highest.

y value of the vertex (peak height) = -1/4(1)²+1/2(1)+1/2 = 3/4 of a meter

answer: A