T2 Quiz 2 Algebra II AAC

Vertical standard form

y = ax²+bx+c

vertical vertex form

y = a(x-h)²+k

vertical conic form

(x-h)² = 4p(y-k)

horizontal standard form

x = ay²+by+c

horizontal vertex form

x = a(y-k)² + h

horizontal conic form

(y-k)²= 4p (x-h)

Conic form vertex at the origin up or down equation

x² = 4py

Conic form vertex at the origin up or down focus

(0,p)

Conic form vertex at the origin up or down directrix

y = -p

Conic form vertex at the origin right or left equation

y² = 4px

Conic form vertex at the origin right or left focus

(p, 0)

Conic form vertex at the origin right or left directrix

x = -p

Conic form vertex at (h, k) up or down equation

(x-h)² = 4p (y-k)

Conic form vertex at (h, k) up or down focus

(h, k + p)

Conic form vertex at (h, k) up or down directrix

y = k - p

Conic form vertex at (h, k) right or left equation

(y-k)² = 4p (x-h)

Conic form vertex at (h, k) right or left focus

(h + p, k)

Conic form vertex at (h, k) right or left directrix

x = h - p