Real World Parabola Project

By: Tori Kearney and Kelly Risch. Parabola found: CHS

Equations

Vertex Form: Y=-.399(X+.31)^2+1.75

Standard Form: Y=-.399X^2-.25X+1.712

Questions

What does the hight of water leaving the spout represent?
The height of the water leaving the spout represents the starting distance from the spout. The spout has a height, therefore this point is not a "zero." However, the height above the spout right when the water leaves represents a very small decimal of "distance away from spout.

At the spot where the water hits the tray, what is the relevance to the equation?

This is one of the zeros. Our grid happens to fall above where the water hits the tray, but if it were to line up it would represent a zero.

What is the maximum height of the water?

The maximum height of the water is 1.75 Units above the spout.

How far away from the spout is the water when it reaches the maximum height?

It is -.31 units away from the spout. This number is negative because the spout is on the right, essentially shooting the water to the negative side of the graph.

What is the domain related to the distance the water is from the spout?

-2.56<X<-.31

What is the range related to the height of the spout?

0<Y<1.75