9.5 Hyperbolas (Day 2). Standard Form of Hyperbolas Major axis is on the x-axis:Major axis is on the y-axis: Foci: a 2 is on (+) variable “C A B” asymptotes.

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9.5 Hyperbolas (Day 2)

Standard Form of Hyperbolas Major axis is on the x-axis:Major axis is on the y-axis: Foci: a 2 is on (+) variable “C A B” asymptotes Vertices & Foci on x-axisVertices & Foci on y-axis (FROM YESTERDAY)

Ex 1) Write an equation of a hyperbola with asymptotes and foci on y- axison x- axis Make a sketch of asymptotes Rise = 3 Run = 4 Foci on x- axis → x 2 is (+) variable a is on x- axis & b is on y- axis

Ex 2) Find an equation of a hyperbola having foci (-3, 0) and (3, 0) and difference of focal radii equal to 4 (Same as Sum for Ellipse) Diff. of focal radii = 2aFoci are ± c on x- axis foci on same axis as ‘a’

Compare Ellipse & Hyperbola Ellipse a 2 is larger # Hyperbola a 2 is with (+) variable Foci (‘c’) on same axis as ‘a’ Eccentricity = “C A B” BOTH

Homework #909 Pg , 4, 6, & 13 – 18 all Pg , 3, 5 When graphing, find: x-intercepts y-intercepts coordinates of foci eccentricity length of major axis (if ellipse) equations of asymptotes (if hyperbola)