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. 139views
Multiple ChoiceGiven the hyperbola x2−y24=1x^2-\frac{y^2}{4}=1, find the length of the aa-axis and bb-axis. 154views
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.149views
Multiple ChoiceDetermine the vertices and foci of the hyperbola y24−x2=1\frac{y^2}{4}-x^2=14y2−x2=1.186views
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) .223views
Multiple ChoiceFind the equations for the asymptotes of the hyperbola x264−y2100=1\frac{x^2}{64}-\frac{y^2}{100}=1.177views
Multiple ChoiceFind the equations for the asymptotes of the hyperbola y216−x29=1\frac{y^2}{16}-\frac{x^2}{9}=1.135views
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).317views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1189views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. ((x-2)^2)/25 - ((y+3)^2)/16 = 1420views
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)503views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2 - x^2 = 16277views
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)228views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1189views
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=1217views
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)259views
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)303views
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=2x433views
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)321views
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=1232views
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=1188views
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=36258views
Textbook QuestionIn Exercises 27–32, find the standard form of the equation of each hyperbola. 165views
Textbook QuestionIn Exercises 27–32, find the standard form of the equation of each hyperbola. 178views
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=1201views
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=4247views
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=3190views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 100x^2 - 7y^2 + 90y - 368 = 0199views
Textbook QuestionFind the standard form of the equation of the hyperbola with vertices (0, −6) and (0, 6), passing through (0, 9).305views