Math+Review

Chapter 8  __Parabolas__ __Ellipses__  Vertex (0,0) Vertex (h,k) Center(0,0) Center (h,k) Standard Equation X²=4py Y²=4px (x-h)²=4p(y-k) (y-k)²=4p(x-h) Standard Equation __X²__ + __Y²__ = 1 __Y²__ + __X²__ = 1 __(x-h)²__ + __(y-k)²__ =1 __(y-k)²__ + __(x-h)²__ = 1 Opens up/down left/right up/down left/right a² b² a² b² a² b² a² b²   Focus (0,P) (P,0) (h,k+p) (h+p,k) Focal axis X Y Y  =K X= H  Directrix Y  =-p X= -p y =k-p x= h-p Foci (__+__c,0) (0,__+__c) (h__+__c,k) (h,k__+__c) Axis Y X x =h y= k Vertices (__+__a,0) (0,__+__a) (h__+__a,k) (h,k__+__a) Focal Length P P Semimajor Axis A A A A   Focal Width /4P/ /4P/ Semiminor Axis B B B B     Pyth Relation a²=b²+c² a²=b²+c² a²=b²+c² a²=b²+c² __Hyperbolas__ Center (0,0) Center (h,k) Standard Equation Focal Axis Foci Vertices Semitransitive Axis Semiconjugate Axis Pyth relation Asymptotes