25-36. Graphing hyperbolas An equation of a hyperbola is given. (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (b) Sketch a graph of the hyperbola.
The center, vertices, foci, and asymptotes of the hyperbola.
Because the term is positive, the hyperbola has a horizontal transverse axis.
Its vertices and foci are on the axis.
Since and , implies , , and
The equation of hyperbola having center at is
The graph of hyperbola.
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