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This weekk, we started learning chapter 6. this chapter is pretty much about graphs like hyperboles, ellipes, and circles.

Circle
equation: (x-h)^2+(y-k)^2=r^2
where (h,k) is center

To put an equation into the standard form of a circle, you have to complete the square.

Ellipse
equation: x^2/a + y^2/b=1
major axis: variable with larger denomenator
minor axis: varibale with smaller denomenator
length of major: 2(squarerootof larger)
length of minor: 2(squarerootof smaller)
vertex: (squarerootof larger) if x is major: ( , 0) (- , 0)
if y is major: (0, ) (0,- )
other int. : (squarerootof smaller) ( , )
focus: smaller=larger-focus^2

Hyperbole
This is pretty much the same as the ellipse, except you also have to deal with negative numbers and asymptotes. also the focus is different.

focus: focus^2=larger+smaller
asymptote: y=+-b/a x if x is major
y=+-a/b x if y is major