1. Find the vertex, focus, and equation of the directrix for the conic given by (x+1)^2 = -20(y-3) Sketch a graph of this conic.

True or False: Note: explaining your answer can either include a counterexample, a diagram, or a written explanation to support your answer.

2. True or False: The area of a circle with a diameter d = 2r = 10 is greater than the area of an ellipse with a major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula Area = pi ab (with 'a' the length of the semi-major axis and 'b' the length of the semiminor axis).

3. True or False: The equation ((x-8)^2) / 41 + ((y+1)^2) / 25 = 1 is the equation of the ellipse with vertices (8, -6) and (8, 4), with a focus at (8, 2). Explain your answer.