1. (10 points) Rewrite the following equations in standard form. One equation is an ellipse ( h)2 62 -= 1) and one is a hyperbola (2 =1) . (a) 3.12 -6.x - 2y2 = 9 (b) 212 + 8x + y' + 6y = 1 2. (10 points) Write the equation for the following conic section in standard form: (a) An ellipse centered at (1, -3), that passes through (1, -4) with foci at (0, -3) and (2, -3). (b) A hyperbola with vertices at (0, -1) and (2, -1) and foci at (-1, -1) and (3, -1)