(1 point) Find an equation of the sphere that passes through the origin and whose center is (1,3,4). Be sure that your formula is monic. Equation: : O (1 point) Identify the type of quadric surface defined by the equation Ay2 - 25x2 + 22 = 1, and find all x-, y-, and z-intercepts of the resulting graph. Sketch the graph of this quadric surface on paper. The quadric surface is a / an Choose V with x-intercepts when x = y-intercepts when y = , and z-intercepts when z = Enter your answers as comma separated lists, or enter NONE if there are no intercepts of a particular type