# Basketball Parabola

### Adam Bede

## Location

## Standard And Vertex Form

## Questions

**What does the height of the black line represent?**

It represents the the maximum value of the parabola, all points have to be inside of the arch and so the y-value can't be a number higher than the y-value in the vertex.

**At the spot where the black line goes off the ball, what is the relevance to the equation?**

The line goes off the ball in two places and those two places are the roots.

**That is the maximum height of the arch?**

The maximum height is the y-value in the vertex and that would be 5.

**How far away is the beginning of the black line (starting from the left end) when the arch hits its maximum height?**

It is the x-value of the vertex which is 4.

**What is the domain related to the distance the line is from the spout?**

All real numbers

**What is the range related to the height of the arch?**

0 less than or equal to y less than or equal to 5