Conics

Equation of a Circle

(x-h)²+(y-h)² = r²

Equation of Elicpse

(x-h)²/a² + (y-k)²/b² = 1

Foci of Ellipse

c²=a²-b²

Major Axis Foci along y int

(h,k+-c)

Major Axis Foci along x int

(h+-c,k)

Majoru Axis

MA=2a

Minor Axis

MinA=2b

Upwards/Downwards Hyperbola Equations

(y-k)²/a² - (x-h)²/b² = 1

left/right Hyperbola Equations

Standard form: (x-h)²/a² - (y-k)²/b² = 1

Hyperbola Foci

c²=a²+b²

Upwards/Downwards Hyperbola Foci

(h,k+-c)

Left/Right Hyperbola Foci

(h+-c,k)

Hyperbola Asympots

y-k=+-a/b(x-h)

Parable opens right

(y-k)²=+4p(x-h)

Parable opens left

(y-k)²=-4p(x-h)

Parable opens up

(x-h)²=+4p(y-k)

Parable opens down

(x-h)²=-4p(y-k)

Foci for Parable opens down/up

(h,k+c)

Foci for Parable opens left/right

(h+c,k)