7.1 Parabolas

Standard Form Equation (Vertical)

Standard Form Equation (Vertical)

(x-h)^2 = 4p(y-k)

Standard Form Equation (Horizontal)

(y-k)^2 = 4p(x-h)

Vertex

(h, k)

Positive p value

Opens up/right

Negative p value

Opens down/left

Focus (vertical)

(h, k+p)

Focus (horizontal)

(h+p, k)

Axis of Symmetry (vertical)

x=h

Axis of Symmetry (horizontal)

y=k

Directrix (vertical)

y=k-p

Directrix (horizontal)

x=h-p