Math Analysis

Math Analysis Circle equation (standard) - CORRECT ANSWER-(x-h)^2 + (y-k)^2 = r^2 Ellipse equation (standard) HORIZONTAL - CORRECT ANSWER-(x-h/a)^2 + (y-k/b)^2 = 1 Ellipse equation (standard) VERTICAL - CORRECT ANSWER-(x-h/b)^2 + (y-k/a)^2 = 1 C - CORRECT ANSWER-Distance from foci to center Parabola definition - CORRECT ANSWER-Set of points equally distanced from a certain point and a line Parabola equation HORIZONTAL - CORRECT ANSWER-(x/a)^2 - (y/b)^2= 1 Parabola equation VERTICAL - CORRECT ANSWER-(y/a)^2 - (x/b)^2 = 1 Foci equation - CORRECT ANSWER-b^2 = c^2 - a^2 Transverse axis definition - CORRECT ANSWER-The line segment that connects the vertices Conjugate axis definition - CORRECT ANSWER-The line that connects the co-vertices Vertex rule - CORRECT ANSWER-Always halfway between focus and directrix Directrix definition - CORRECT ANSWER-The line that is never crossed by the graph (anecdote) P - CORRECT ANSWER-The distance from the vertex to the focus/vertex to directrix Always apply - CORRECT ANSWER-4p Parabola clue - CORRECT ANSWER-Only one term is squared Circle clue - CORRECT ANSWER-If A = B Ellipse clue - CORRECT ANSWER-If A doesn't equal B and both are positive Hyperbola clue - CORRECT ANSWER-If A or B are negative Conic sections - CORRECT ANSWER-The intersection(s) of a plane and a double-napped cone Conic section equation (if center is at origin) - CORRECT ANSWER-x^2 + y^2 = r^2 Conic section equation when a>b HORIZONTAL - CORRECT ANSWER-(x/a)^2 + (y/b)^2 = 1 Conic section equation when a>b VERTICAL - CORRECT ANSWER-(x/b)^2 + (y/a)^2 = 1 2a - CORRECT ANSWER-Length of the major axis 2b - CORRECT ANSWER-Length of the minor axis Major axis - CORRECT ANSWER-The longer axis on the section Minor axis - CORRECT ANSWER-The shorter axis on the section a - CORRECT ANSWER-Half of the major axis b - CORRECT ANSWER-Half of the minor axis Centers - CORRECT ANSWE