\fstandard form (as indicated in Table 13.1), then classify the surface it represents (and indicate the vertex or the center): (A) The surface defined by the equation is an ellipsoid centered at ( (B) The surface defined by the equation is a hyperboloid of two sheets centered at ( (C) The surface defined by the equation is a hyperboloid of one sheet centered at ( (D) The surface defined by the equation is an elliptic cone centered at ( (E) The surface defined by the equation is an elliptic paraboloid with vertex ( (F) The surface defined by the equation is a hyperbolic paraboloid centered at (Table 13.1 Standard Equation I catures Graph Ellipsoid All traces are ellipses. Liliput Traces with : = 6 3 0 are ellipses, Traces with parabolold - Dory = Ye parabolas, Hyperhaloid Traces with e = [ are ellipses for all 5 Traces with of one shirt ro rory - youre hyperbolas. Hyperbolaki Traces with : = $ with |;) > lel are ellipses. Truers with * = x, and y = To are hyperbolin Elliptic cone Traces with = = & l O are ellipses. Traces with a = 4 or y = are hyperbolas or intersecting lines. Hyperbolic Traces with : = 5 - 0 are hyperbolas Traces with