The quadratic function f(x) is shown in vertex form. One of a or b is true; one of c or d is true, and one of p or q is true. Use the sliders and these hints to find a formula for the path of the basketball.

What is the domain of this function? Does it make sense for x to be negative?[br]What is the range of this function?[br]What do each of the sliders A, h, and k do to the graph?[br]How many seconds does it take for the ball to reach the top of it's arc?