This past week we learned some of Chapter 6.

6-2
CONICS

*equation of a circle
(x-h)^2 + (y-k)^2 = r^2
**where (h,k) is the center.

D=square root of (y2-y1)^2 + (x2-x1)^2 = r

-get rid of coefficient of x^2 or y^2
-divide middle term by 2 and square it.
-add to both sides
-factor to (x)^2

EXAMPLE:
(x-7)^2 + (y+2)^2=25
CENTER: (7,-2)
RADIUS: square root of 25 = 5

6-3
ELLIPSES

* x^2/a + y^2/b = 1

PARTS OF THE EQUATION:
major axis-variable with larger denominator

minor axis-variable with smaller denominator

length of major-2 square root of larger denominator

length of minor-2 square root of smaller denominator

vertex-if x is major ( ,0) & ( ,0)
if y if major (0, ) & (0, )

other- opp. of vertex ( , )

focus- smaller denom. = larger denom. - focus^2
if x is major (0, focus)
if y is major (focus, 0)