# Water spout parabola

### By Tyler Hopkins and Jason hong

## Jason and I used a water spout as our parabola

## Vertex form

f(x)= -3.8 (x+1.93)^2 + 3.05

## Standard form

f(x)= x^2 + 3.86x + 6.77

## Question answers

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

It represents the initial height

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

f(x) = 0

## What is the maximum height of the water?

The vertex (-1.93 , 3.05)

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

1.93

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

-4.76 less than or equal to X less than or equal to 0

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

0 less than or equal to Y less than or equal to 3.05