Question

Ethan kicked a ball from homeplate during a kickball game. The height of the ball is represented by h(t) = -16t2 + 25t. What would the vertex of the function represent in the context of this problem?

Write you answer using complete sentences.

Answer 1

This type of essay answer is pretty short.
You play out the equation and say what each part of the equation means. The vertex in this case, because it's a downward facing parabola, is the highest point on the graph. Now since they're kicking a ball, the vertex will be the highest point that the ball will go up to.

Hopefully this helps some. For full points you'll probably have to add a bit of padding and further explanation.