QUADRATIC FUNCTIONS

ISOUS APREA

Vertex

Where the parabola changes directions.
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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

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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 )
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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