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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.