(Solution) - Suppose that the graph of f x sin x -(2025 Original AI-Free Solution)

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Suppose that the graph of f (x) = sin x is compressed horizontally by a factor of 2 and then shifted 5 units to the right.
(a) What is the equation for the new graph?
(b) What is the equation if you first shift by 5 and then compress by 2?
(c) Verify your answers by plotting your equations.