Use the discriminant to determine whether the graph of the following equation is a parabola, an ellipse, or a hyperbola. 6x2 + 4xy + 3y2 = 42 parabola ellipse hyperbola Use rotation of axes to eliminate the xy-term in the equation. (Enter your answer in terms of the xy-coordinate system.) Sketch a graph of the equation. y 10 F 5 * -10 -5 5 10 -5 -10 __ y) = -10 -5 y 10 -5 -10 5 (larger x-value) -X 10 -10 Find the coordinates of the vertices of this conic (in the xy-coordinate system). - y) = (smaller x-value) -10 -5 -5 y 10 5 -5 -10 y 10 5 -5 -10 5 10 10 X X