Conics

Conics are a type of graph. They can be graphed by calculator or hand.  Each conic has a certain equation and a way it looks when graphed. This is about circles.

Standard form: (x-h)^2 = (y-k)^2 = r^2

-You can find the radius using the distance formula with the center and a point on the outside or you can half the diameter foud by using 2 points on the outside through the center.

-Equations must be put in standard forn by completing the square. These are the steps:
1.Divide by leading coefficient, move all #s to right
2.Half the middle term, them saure it and add to both sides
3.Factor everything

-To graph in your calculator you must solve for y and put a + e - formula in the Y= slot in calculator.

-To graph without calculor you  must find center points and raidus. Graph as told.

EX1.  Write an equation for the line with a center of (2,8) and radius of 4.
plug into formula (x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y-8)^2 = 16

EX 2. Find the center and radius of (x-3)^2 + (y +5)^2 = 9
center = (3, -5)
radius + sqaure root 9 = 3