conics quiz review

conics circle equation

(x-h)²+(y-k)²=r²

horizontal ellipse equation

(x-h)²/a² + (y-k)²/b² = 1

veritcle ellipse equation

(x-h)²/b² + (y-k)²/a² = 1

what a stands for in ellipse equation

length from the center to the vertex on the longer/major axis

what b stands for in the ellipse equation

length from the center to the co-vertex(littler vertex) along the shorter/minor axis

what c stands for in ellipse equation

length from center to the focus along major axis

how to find the focus of an ellipse

c² = a² - b²

equation for vertical parabola

y-k=a(x-h)²

how to find the axis of symmetry of a vertical parabola

x=h

what does p stand fro in the vertical parabola euqation

the distance between the vertex and the focus, and the vertex and the directrix

how to find p

a=1/4p

how to tell if a vertical parabola opens up or down

if a is more than 0 it opens up, if a is less than 0 it opens down

how to find the focal diameter

FD= I4pI

equation of a horizontal parabola

x - h= a(y - k)²

how to find the axis of symmetry of a horizontal parabola

y=k

how ot tell if a horizontal parabola opens left or right

if a is more than 0 it opens right, if a is less than 0 it opens left