PLEASE ANSWER ALL 1) A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 40 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
A) (0, 20); y equals one over eighty times x squared plus 20
B) (0, 10); y equals one over one hundred twenty times x squared plus 10
C) (0, 20); y equals one over eighty times x squared minus 20
D) (0, 10); y equals one over one hundred twenty times x squared minus 10

2) Calculate the area of triangle ABC with altitude CD, given A (6, 0), B (1, 5), C (2, 0), and D (4, 2).
A) 5 square units
B) 8 square units
C) 10 square units
D) 13 square units

3) Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?

A) x squared over 12 minus y squared over 24 equals 1
B) x squared over 12 minus y squared over 48 equals 1
C) y squared over 12 minus x squared over 24 equals 1
D) y squared over 48 minus x squared over 12 equals 1