Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2.
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).
Which of the following did you include in your explanation? Check all of the boxes that apply.
Write in vertex form.
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