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9.5 Hyperbolas (Day 2)

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

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9.5 Hyperbolas (Day 2)

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  1. 9.5 Hyperbolas (Day 2)

  2. (FROM YESTERDAY) Standard Form of Hyperbolas Major axis is on the x-axis: Major axis is on the y-axis: asymptotes a2 is on (+) variable Vertices & Foci on x-axis Vertices & Foci on y-axis “C A B” Foci:

  3. Ex 1) Write an equation of a hyperbola with asymptotes and foci Make a sketch of asymptotes Rise = 3 Run = 4 Foci on x- axis → x2 is (+) variable a is on x- axis & b is on y- axis on x- axis on y- axis

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

  5. Compare Ellipse & Hyperbola Ellipse a2 is larger # Hyperbola a2 is with (+) variable “C A B” Foci (‘c’) on same axis as ‘a’ Eccentricity = BOTH

  6. Homework #909 Pg. 430 2, 4, 6, & 13 – 18 all Pg. 421 1, 3, 5 When graphing, find: x-intercepts y-intercepts coordinates of foci eccentricity length of major axis (if ellipse) equations of asymptotes (if hyperbola)

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