1-Sketch the graph of the conic x^2 + 3y^2 12 = 0. Be sure to include the exact coordinates of any important points, vertices, foci, or asymptotes as appropriate.

2- Sketch the graph of each of the following equations

A: 4x^2 24x + 9y^2 18y + 45 = 0. B: 4x^2 9y^2 = 0.

3- Find the equation and sketch the graph of a hyperbola which has one of its vertices at (2, 3) and which has foci at (2, 5) and (2, 3). Be sure to include the equation of any asymptotes and show how you used them in your graph.