Consider the equation below. x2 − y2 + z2 − 6x − 2y − 2z + 9 = 0 Reduce the equation to one of the standard forms. Classify the surface. ellipsoid hyperboloid of one sheet circular cone elliptic paraboloid hyperboloid of two sheets hyperbolic paraboloid elliptic cylinder parabolic cylinder Sketch the surface.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −6 0 −3 1 0 g(x) g(x) = 4x − 5 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)