# Quadratic Functions

### Alyssa Carmitchel

## Parabola Parts/Vocabulary

Parabola- The parabola is the u-shaped arc.

The Vortex- Where the parabola changes direction and starts to curve

Maximum/Minimum- The Maximum/Minimum is the highest/lowest point the parabola will reach.

The Roots- The Roots are the points where the Parabola intercepts the x-axis.

## Notes on Maximums/Minimums

If the "a" in your problem is negative, the parabola has a maximum and opens down. If it is positive, it has a minimum and opens up.

## Quadratic Function The Parabola is the blue arc. The Vertex would be near the -6. The two red dots on the y-axis are the roots and they would be -2 and 3. This parabola would be a minimum. | ## Real World Example The Gateway Arch is a good example of a Quadratic Function in real life. This would be a maximum. | ## Another Real World Example The McDonalds sign is also a good example of a Quadratic Function. It would also be a maximum. |

## Quadratic Function

The Parabola is the blue arc. The Vertex would be near the -6. The two red dots on the y-axis are the roots and they would be -2 and 3. This parabola would be a minimum.

## Real World Example

The Gateway Arch is a good example of a Quadratic Function in real life. This would be a maximum.