# 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