# QUADRATIC FUNCTIONS

### ISOUS APREA

## Vertex

Where the parabola changes directions.

## Maximum on a Parabola and a Minimum

The maximum opens down and the Minimum opens up

## Quadratic Function

Y= Ax (squared) + Bx + C

## Roots on a Parabola

There are only roots when it is crossing the X-axis, the roots are where the two side of the Parabola cross.

## Vertex formula example

f(x) - x (squared) - 2x - 3

f(x) x (squared) - 4x

## Line of symmetry

The line where is cuts the Parabola in half.

## Real Life Situation

For the helicopter to fly above the rainbow Parabola, how high must the copter fly? ( in other words what is the Maximum value of the Parabola )

## Solve

y= -2x(squared) + 10

-3

_______

-2

________

-1

________

0

________

1

________

2

________

3

________

## A.O.S

-b -(-4)

_______

____ 2 (1) x=2

2 a 2 (squared)- 4 (2) = -4

## Vertex formula

-b

_____

2a