Hi boys can you me !

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.

OPTION A.

Step-by-step explanation:

Given the following function:

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

In this case:

Then, substituting values, you get:

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

Therefore, you can conclude that:

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

step-by-step explanation:

f

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: