Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2.

Answer:

To determine the path of the ball, first complete the square to rewrite the quadratic equation in vertex form, y a(x h)^2 k. For the equation y 16(x 1)^2 19, the transformations include a reflection across the xaxis and a vertical stretch that makes the graph narrower because a 16. Additionally, identify the translations: the graph is shifted 1 unit to the right (h 1) and 19 units up (k 19).