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unit circle:
- degrees (angle) to radians (w/pi): degree x pi/180= radians
- radians to degrees: radians x 180/pi= degree
circle:
- standard form: (x-h)2+(y-k)2=r2
- center: (h,k)
- r=radius
- in general form ax2+bxy+cy+dx+ey+f=0: has both x2 and y2, both have the same sign and coefficient
- can graph using center and radius
parabola:
- standard form: (y-k)2=4p(x-h) (horizontal) or (x-h)2=4p(y-k) (vertical)
- vertex: (h,k)
- focus: (h+p,k) or (h,k+p)
- directrix: x=h-p or y=k-p
- axis of symmetry: y=k or x=h
ellipse:
- standard form: (x-h)2/a2+(y-k)2/b2=1 (horizontal) or (x-h)2/b2+(y-k)2/a2=1 (vertical)
- a2 is always the bigger number
- center: (h,k)
- vertices: (h+-a,k) or (h,k+-a)
- co-vertices: (h,k+-b) or (h+-b,k)
- foci:(h+-c,k) or (h,k+-c)
- to find foci: c2=a2-b2
- eccentricity: c/a (must be positive, can't be negative)
- in general form ax2+bxy+cy2+dx+ey+f=0: has both x2 and y2, coefficients are different but have the same sign
- can graph using center and length of major/minor axis
hyperbola:
- standard form: (x-h)2/a2-(y-k)2/b2=1 (horizontal) or (y-k)2/a2-(x-h)2/b2=1 (vertical)
- a2 is not always the bigger number
- center: (h,k)
- vertices: (a,0) (-a,0) or (0,a) (0,-a)
- foci: c2=a2+b2
- asymptote: y-k=+-b/a(x-h) or y-k=+-a/b(x-h)
- in general form ax2+bxy+cy2+Dx+Ey+F=0: has both x2 and y2, coefficients are different but one is positive and one is negative
- can graph using center, vertices, and asymptotes
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