# Water Fountain Parabola Project

### Courtney Little & Lauren Sullivan

## Location of Water Fountain

The water fountain used in this project was found at Coppell High School, in B-hall downstairs, underneath the senior bridge.

## Equation of Parabola in Standard Form

y = (x - 3) (x - 3) + (6)

y = x^2 - 3x - 3x + 9

y = x^2 - 6x + 9 + (6)

y = - (x^2 - 6x + 9) + (6)

y = - x^2 + 6x - 9 + 6

**y = - x^2 + 6x - 3**

## Equation of Parabola in Vertex Form

**f (x) = - (x - 3)^2 + 6 **

## What does the height of the water leaving the spout represent?

origin

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

zero, where it would cross the x-axis

## What is the maximum height of the water?

6

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

3

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

The water traveled from the origin of the spout, 6 units over where the water hits the tray.

## What is the range related to the height of the water?

The water traveled from the origin of the spout, 6 units up.

## What 3 points were used to find the regression equation?

(2,5) & (3,6) & (4,5)