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Flashcards in Quiz #1 Deck (14)
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1

Circle Definition

The set of all points a given distance from a fixed point.

2

Concentric circle

Same center, different radii

3

Circle with center at the origin standard form

x^2 + y^2 = r^2

4

Circle with center at (h,k) in standard form

(x-h)^2 + (y-k)^2 = r^2
(radius is r)

5

Center

the fixed point

6

Radius

The given distance

7

Midpoint formula

(x1+x2 / 2 , y1+y2/2 )

8

Standard form of ellipse at origin

(x^2 / a^2) + (y^2/b^2) = 1

("a" is always the larger number)

9

Standard form of ellipse at (h,k)

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

10

Horizontal Ellipse Vertices

(h+a,k)
(h-a, k)

11

Horizontal Ellipse Foci

(h+c, k)
(h-c, k)

12

Vertical Ellipse Vertices

(h, k+a)
(h, k-a)

13

Vertical Ellipse Foci

(h, k+c)
(h, k-c)

14

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.