Question

An engineer is designing a bearing with a groove having edges in the shape of a hyperbola. A coordinate system has been set up with each unit representing one millimeter. The closest the bottom of the groove comes to the center of the bearing on the coordinate system is 16 millimeters. If the groove has edges that follow the asymptotes y=2.5x and y=−2.5x, find an equation for the hyperbola that can be used to model the edges of the groove.

Assume the hyperbola is vertical and round your a and b values to the nearest hundredth if necessary.

Answer 1