2. Consider the surface y = - - 4z2 a. NEATLY sketch three USEFUL traces of this surface, one parallel to each of the main planes (the xy-plane, the yz-plane, and the xz-plane). A useful trace contains more than one point. Be sure to clearly label each trace, including the axes. (6 points) b. Identify the quadric surface. (1 point) 3. Construct an equation for each of the following quadric surfaces a. A hyperboloid of one sheet whose x = 0 trace is an ellipse with axis (ie, distance all the way across the ellipse) of 4 in the y-direction and axis of 6 in the z-direction. (2 points) b. An elliptical paraboloid whose y = 1 trace is a circle of radius 5. (2 points)