# Real World Parabola

### Julia Stephenson, Algebra 2

## Parabolas Everywhere

**vertex: (6,0)**

**point 1: (4,2)**

**point 2: (8,2)**

## Equations

__Standard Form:__

1/2x^2 - 6x + 18

__Vertex Form:__

y = 1/2 (x - 6)^2 + 0

## Questions:

The minimum height of the parabola represents the y value while at it's lowest point.

2. What are the roots and where are they found?

The roots are the two places where the parabola clearly crosses the x axis, they can be called roots, solutions or zeros. In this example, the vertex starts on the x axis, so it only has one solution.

3. What does the maximum height represent?

The maximum height of the parabola represents the y value at it's lowest point.

4. How far away from the start is the "v" in "love" from the start of the parabola?

The vertex is (6,0) so it is 6 away from the start.

5. What is the domain of the parabola, in the letter "V" in "love"?

(negative infinity, positive infinity)

6. What is the range of the parabola, in the letter "V" in "love"?

(6, infinity)