7-3 Hyperbolas

Standard Form (Horizontal)

Standard Form (Horizontal)

(x-h)^2 / a^2 - (y-k)^2 / b^2 = 1

Standard Form (Vertical)

(y-k)^2 / a^2 - (x-h)^2 / b^2 = 1

Center

(h, k)

Vertices (Horizontal)

(h±a, k)

Foci (Horizontal)

h±c, k

Transverse Axis (Horizontal)

y=k

Conjugate Axis (Horizontal)

x=h

Asymptotes (Horizontal)

y-k = ±b/a(x-h)

Vertices (Vertical)

(h, k±a)

Foci (Vertical)

(h, k±c)

Transverse Axis (Vertical)

x=h

Conjugate Axis (Vertical)

y=k

Asymptotes (Vertical)

y-k = ±a/b(x-h)

Relationship of a, b, and c

c = √a^2 + b^2