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The graph depicts a sine function of the form f(x) = a sin(bx + c) + d. 5 4 y ww 3 2 1

The graph depicts a sine function of the form f(x) = a sin(bx + c) + d. 5 4 y ww 3 2 1 4 8 12 16 20 24 TO (a) Estimate the amplitude, period, average value, and horizontal shift for the graph. amplitude period average value horizontal shift (b) Write an equation for the function using the values you found in part (a). (Round all numerical values to three decimal places.) f(x) = = X

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