Chapter 8.2, Problem 63SE

For the following exercises, a hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. Find the equation of the hyperbola and sketch the graph.

63. The hedge will follow the asymptotes $y=\frac{1}{2}x$ and $y=-\frac{1}{2}x$ , and its closest distance to the center fountain is 10 yards.