Where the parabola changes directions.
Maximum on a Parabola and a Minimum
The maximum opens down and the Minimum opens up
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 )
y= -2x(squared) + 10
____ 2 (1) x=2
2 a 2 (squared)- 4 (2) = -4