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
MAXIMUM AND MINIMUM
MAXIMUM OPENS DOWN
MINIMUM OPENS UP
MAXIMUM
VERTEX
WHERE THE PARABOLA CHANGES DIRECTION
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.
MAXIMUM
If "a" is negative the parabola has a maximum and opens down
MINIMUM
If the "a" is positive the parabola has a minimum and opens up
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