The generic equation that is suggested by a graph showing a hyperbola is y = k(1/x). Hence, option C is correct.
A hyperbola is a significant conic section in mathematics that is created when a plane surface and a double cone cross, though not always at the center. Similar to the ellipse in many ways, a hyperbola is symmetric along the conjugate axis.
A hyperbola can be described using terms like foci, directrix, latus rectus, and eccentricity. The path taken by the point of a sundial's shadow, the scattering trajectory of subatomic particles, and others are a few examples of hyperbola that are frequently encountered.
Therefore, the generic equation of hyperbola is y= k(1/x).
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