Solar Energy The solar electric generating systems at Kramer Junction, California, use parabolic troughs to heat a heat-transfer fluid to a high temperature. This fluid is used to generate steam that drives a power conversion system to produce electricity. For troughs 7.5 feet wide, an equation for the cross section is $16 y^{2}=120 x-225$
(a) Find the intercepts of the graph of the equation.
(b) Test for symmetry with respect to the $x$ -axis, the $y$ -axis, and the origin.