Consider the following quadratic surface: x =4-y2- 422 a) [6pts] Find the intercepts with the three coordinate axes if they exist. b) [6pts] Find the equations of the xy-, xz-, and yz-traces if they exist. c) [8pts] Identify the quadratic surface. Then, use the coordinate traces to sketch a graph of the surface in R. . Clearly label all coordinate traces and intercepts with the coordinate axes on your sketch