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.

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.