For the following exercises, assume an object enters our solar system and we
want to graph its path on a coordinate system with the sun at the origin and
the \(x\) -axis as the axis of symmetry for the object's path. Give the equation
of the flight path of each object using the given information.
The object enters along a path approximated by the line \(y=3 x-9\) and passes
within 1 au of the sun at its closest approach, so the sun is one focus of the
hyperbola. It then departs the solar system along a path approximated by the
line \(y=-3 x+9\).
