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NEED PHOTO Topic List Sinusoidal Graphs Sinusoidal Graphs: Amplitude Sinusoidal Graphs: Period Sinusoidal Graphs: Vertical Shift Sinusoidal Family of Functions Creating Trigonometric Models Interpreting Trigonometric Models Properties of Sinusoidal Graphs Periodic Functions Graphs of Sinusoidal Functions FLORIDA STANDARDS • MAFS.912.F-IF.2.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. • MAFS.912.F-IF.3.7e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude, and using phase shift. • MAFS.912.F-BF.2.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. • Also MAFS.912.F-TF.2.5, MAFS.K12.MP.4.1 A vibrating string, a seismic wave, and an ocean wave all can be modeled with sinusoidal functions. You can see the repetitive pattern in these periodic phenomena and model them with periodic trigonometric functions.

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