The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. Sandi skates along a path that can be modeled by the equation y=0.08x²-1.6x+13.

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Which system of equations models the paths of the two skaters?
a. y=0.08x²-1.6x+13 and y=0.08(x-10)²+5
b. y=0.06x²-1.6x+13 and y=1.6(x-10)²+5
c. y=0.08x²-1.6x+13 and y=0.8(x-10)²+5
d. y=0.08x²-1.6x+13 and y=5(x-10)²+5