Multiple ChoiceGiven the hyperbola x225−y29=1\frac{x^2}{25}-\frac{y^2}{9}=1, find the length of the aa-axis and the bb-axis. 106views
Multiple ChoiceGiven the hyperbola x2−y24=1x^2-\frac{y^2}{4}=1, find the length of the aa-axis and bb-axis. 122views
Multiple ChoiceGiven the hyperbola y2100−x2139=1\frac{y^2}{100}-\frac{x^2}{139}=1, find the length of the aa-axis and the bb-axis.119views
Multiple ChoiceDetermine the vertices and foci of the hyperbola y24−x2=1\frac{y^2}{4}-x^2=14y2−x2=1.137views
Multiple ChoiceFind the equation for a hyperbola with a center at (0,0)\left(0,0\right), focus at (0,−6)\left(0,-6\right) and vertex at (0,4)\left(0,4\right) .170views
Multiple ChoiceFind the equations for the asymptotes of the hyperbola x264−y2100=1\frac{x^2}{64}-\frac{y^2}{100}=1.124views
Multiple ChoiceFind the equations for the asymptotes of the hyperbola y216−x29=1\frac{y^2}{16}-\frac{x^2}{9}=1.112views
Textbook QuestionExplain why it is not possible for a hyperbola to have foci at (0,-2) and (0,2) and vertices at (0,-3) and (0,3).275views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1166views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. ((x-2)^2)/25 - ((y+3)^2)/16 = 1343views
Textbook QuestionFind the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (-8,0), (8,0); Vertices: (-3,0), (3,0)419views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2 - x^2 = 16221views
Textbook QuestionFind the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (0,-4), (0,4); Vertices: (0, -2), (0,2)193views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1166views
Textbook QuestionIn Exercises 1–4, find the vertices and locate the foci of each hyperbola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). y^2/4−x^2/1=1182views
Textbook QuestionIn Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: (0, −3), (0, 3) ; vertices: (0, −1), (0, 1)229views
Textbook QuestionIn Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: (−4, 0), (4, 0); vertices:(−3, 0), (3, 0)247views
Textbook QuestionIn Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Endpoints of transverse axis: (0, −6), (0, 6); asymptote: y=2x376views
Textbook QuestionIn Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Center: (4, −2); Focus: (7, −2); vertex: (6, −2)282views
Textbook QuestionIn Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. y^2/16−x^2/36=1184views
Textbook QuestionIn Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2−x^2=1158views
Textbook QuestionIn Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. 9x^2−4y^2=36198views
Textbook QuestionIn Exercises 27–32, find the standard form of the equation of each hyperbola. 139views
Textbook QuestionIn Exercises 27–32, find the standard form of the equation of each hyperbola. 149views
Textbook QuestionIn Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x+4)^2/9−(y+3)^2/16=1166views
Textbook QuestionIn Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x−3)^2−4(y+3)^2=4202views
Textbook QuestionIn Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x−1)^2−(y−2)^2=3154views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 100x^2 - 7y^2 + 90y - 368 = 0175views
Textbook QuestionFind the standard form of the equation of the hyperbola with vertices (0, −6) and (0, 6), passing through (0, 9).230views