Start with the graph of y = f (x). Consider performing the following sequence of transformations to the graph in the given order. Make a horizontal scale change by a factor of 1/3, shift to the right 5 units, reflect in the y-axis, make a vertical scale change by a factor of 2, reflect in the x-axis, and finally shift up 5 units.
(a) Find the equation of the final graph.
(b) If (a, b) is a point on the original graph, what is the corresponding point on the final graph?
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