Instructions for traces of quadric surfaces. Whenever the traces are conic sections, you do not need to find their foci and/or asymptotes and/or directrix- just find what shape they are, and draw them roughly correctly (finding the vertices is helpful for this.) You may draw all z = k traces in one coordinate system, whose axes are labeled y and z; similarly for y= k traces, and similarly for z = k traces. QUESTION 6 Consider the quadric surface z = 4x-y+1. (a). Find and sketch its = k traces for k = 0 and k = 1. (b). Find and sketch its z = k traces for k = 3, k = 1, and k = 5. QUESTION 7 Consider the quadric surface -+4y z = 0. (a). Find and sketch its y = k traces for k = 0 and k = -1. (b). Find and sketch its z = k traces for k = 0 and k = 1. Which quadric surface is this? QUESTION 8 Consider the quadric surface 92 -18x + y+2y-z = 0. (a). Find and sketch its = k traces for k = 0 and k = 1. (b). Find and sketch its z = k traces for k = -11, k = -10, and k = -9. QUESTION 9 Consider the quadric surface z+4y+z = 16. (a). Find and sketch its r = k traces for k = 3, k = 4, and k = 5. (b). Find and sketch its z = k traces for k = 0 and k = 3. Which quadric surface is this? QUESTION 10 = (x, y, z) whose Find an equation for the surface consisting of all points P distance from the point (0,2,4) is twice their distance from the plane z = 1. Which quadric surface is this?