Quadratic Functions

Standard Form: y=ax^2+bx+c
Vertex Form: y=a(x-h)^2+k
Factored Form: y=a(x-s)(x-t)
Completing Square: y=ax^2+bx+c

Derivation of Quadratic Formula: Let y=0

Discriminant

Note: x is input, y is output, k is vertical translation, h is horizontal translation, b is horizontal stretch/compression &/or reflection (over y-axis), a is vertical stretch/compression &/or reflection (over x-axis), s & t are x-intercepts