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standard form parabola (vertical axis) x^2=4py standard form parabola (horizontal axis) y^2=4px ellipse (horizontal major) (x^2/a^2)+(y^2/b^2)=1 ellipse (vertical major) (x^2/b^2)+(y^2/a^2)=1 hyperbola (horizontal transverse) (x^2/a^2)-(y^2/b^2)=1 hyperbola (vertical transverse) (y^2/a^2)-(x^2/b^2)=1 circle standard form (x-h)^2 + (y-k)^2=r^2 ellipse a center to vertex ellipse b center to covertex ellipse c center to focus ellipse pythagorean b^2 + c^2 = a^2 ellipse major axis 2a ellipse minor axis 2b hyperbola pythagorean a^2 + b^2 = c^2 arc length s=rtheta area of sector (degrees) (theta/360) pi r^2 sin^2 pythagorean 1- cos^2 theta cos^2 pythagorean 1- sin^2 theta determinant (ad-bc) inverse of 2x2 (1/(ad-bc) [d -b] [-c a] area of triangle .5determinant sigma starting point i sigma ending point n nth term of arithmetic sequence asubn = asub1 - (n-1)d sum of finite arithmetic sequence (n/2)(asub1 + asubn) nth term of geometric sequence asubn = asub1 r^(n-1) sum of finite geometric sequence asub1 ((1-r^n)/1-r)) sum of infinite geometric sequence asub1/(1-r) permutation n! permutations of n elements taken r at a time nPr=(r!)/((n-r)!) number of sample space outcomes s probability (n(E))/n(S)) combination nCr=(n!)/((n-r)!r!)