Chapters 3

Vertex Form

f(x) = a(x - h)² + k

Vertex Formula

x = -b/2a

Quadratic Equation

ax² + bx + c = 0

intercept form

y =a(x-p)(x-q)

completing the square

x² + bx + (b/2)² = c + (b/2)²

discriminant

b² -4ac

Quadratic Formula

x = -b ± √b²-4ac / 2a

i, i²

√-1 , -1

Complex Numbers

z = x + I, y=i

FOIL

First, Outer, Inner, Last

d > 0

2 solutions

d < 0

no solutions

d = 0

1 solution

Shading Inside Parabola Inequality

y < -x² or y > x²

Shading Outside Parabola Inequality

y > -x² or y < x²