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. 109views
Multiple ChoiceGiven the hyperbola x2−y24=1x^2-\frac{y^2}{4}=1, find the length of the aa-axis and bb-axis. 125views
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.122views
Multiple ChoiceDetermine the vertices and foci of the hyperbola y24−x2=1\frac{y^2}{4}-x^2=14y2−x2=1.142views
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) .172views
Multiple ChoiceFind the equations for the asymptotes of the hyperbola x264−y2100=1\frac{x^2}{64}-\frac{y^2}{100}=1.129views
Multiple ChoiceFind the equations for the asymptotes of the hyperbola y216−x29=1\frac{y^2}{16}-\frac{x^2}{9}=1.113views
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).280views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1168views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. ((x-2)^2)/25 - ((y+3)^2)/16 = 1351views
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)423views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2 - x^2 = 16227views
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)197views
Textbook QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1168views
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=1186views
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)233views
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)254views
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=2x382views
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)286views
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=1190views
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=1162views
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=36206views
Textbook QuestionIn Exercises 27–32, find the standard form of the equation of each hyperbola. 143views
Textbook QuestionIn Exercises 27–32, find the standard form of the equation of each hyperbola. 153views
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=1169views
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=4207views
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=3157views
Textbook QuestionIn Exercises 49–56, identify each equation without completing the square. 100x^2 - 7y^2 + 90y - 368 = 0177views
Textbook QuestionFind the standard form of the equation of the hyperbola with vertices (0, −6) and (0, 6), passing through (0, 9).237views