Math  /  Geometry

QuestionFind the orientation, center, vertices, conjugate axis ends, foci, and lengths of the axes for y216x2=1\frac{y^{2}}{16}-x^{2}=1. Graph it.

Studdy Solution
To graph the equation, plot the center, vertices, and foci. Draw the transverse axis through the vertices and the conjugate axis through the ends of the conjugate axis. Sketch the hyperbola opening upwards and downwards through the vertices and asymptotes through the center, with slopes of ±a/b.

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