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By placing a hyperbola on an x-y graph (centered over the x-axis and y-axis), the equation of the curve is: x 2 a 2 − y 2 b 2 = 1. Also: One vertex is at (a, 0), and the other is at (−a, 0) The asymptotes are the straight lines: y = (b/a)x; y = −(b/a)x
Use the information provided to write the standard form equation of each hyperbola. 1) x y x y ( y )
Use the information provided to write the standard form equation of each hyperbola. 1) Vertices: ( , ) , ( , ) Endpoints of Conjugate Axis: ( , )
Worksheet by Kuta Software LLC-2-Use the information provided to write the standard form equation of each hyperbola. 5) Vertices: (5 2, 31 2), (5 2, - 1 2) Foci: (5 2, 289 + 15 2), (5 2, -289 + 15 2) 6) Vertices: (17, 0), (-3, 0) Foci: (7 + 181, 0), (7 - 181, 0) 7) Vertices: (6, 10), (6, -8) Asymptotes: y = 3 4 x - 7 2 y = - 3 4 x + 11 2 8 ...
Write the standard equations for both hyperbolas whose asymptotes contain the diagonals of rectangle ABCD and whose vertices lie on the sides of the given rectangle. 30.
Kuta Software - Infinite Algebra 2 Name_____ Writing Equations of Hyperbolas Date_____ Period____ Use the information provided to write the standard form equation of each hyperbola. 1) − x2 + y2 − 18 x − 14 y − 132 = 0 2) 9x2 − 4y2 − 90 x + 32 y − 163 = 0
Hyperbola Worksheet. Identify the vertices of each. Then sketch the graph. (x + 1)2 y2. - = 1. 16 25. y. 8. 6.
