Quiz #1 Flashcards
(14 cards)
Circle Definition
The set of all points a given distance from a fixed point.
Concentric circle
Same center, different radii
Circle with center at the origin standard form
x^2 + y^2 = r^2
Circle with center at (h,k) in standard form
(x-h)^2 + (y-k)^2 = r^2
radius is r
Center
the fixed point
Radius
The given distance
Midpoint formula
(x1+x2 / 2 , y1+y2/2 )
Standard form of ellipse at origin
(x^2 / a^2) + (y^2/b^2) = 1
“a” is always the larger number
Standard form of ellipse at (h,k)
(x-h)^2/a^2 + (y-k)^2/b^2 = 1
Horizontal Ellipse Vertices
(h+a,k)
h-a, k
Horizontal Ellipse Foci
(h+c, k)
h-c, k
Vertical Ellipse Vertices
(h, k+a)
h, k-a
Vertical Ellipse Foci
(h, k+c)
h, k-c
Horizontal vs. Vertical ellipse (a or b)
If the bigger number is under x (a), its a horizontal ellipse.
If the bigger # is under
y (a) its a vertical ellipse.