TR.PF.1
Graph trigonometric functions with and without technology. Use the graphs to model and analyze periodic phenomena, stating amplitude, period, frequency, phase shift, and midline (vertical shift).
Example Problems
Find the midline equation of the following:
Find the amplitude of the following function:
Find the amplitude of the following function:
Khan Academy ResourcesMidline, amplitude, and period reviewGraph sinusoidal functionsGraphs of logarithmic functionsAmplitude of sinusoidal functions from equationGraph sinusoidal functions: phase shiftConstruct sinusoidal functionsPeriod of sinusoidal functions from equationGraphs of exponential functionsModeling with sinusoidal functions: phase shiftAmplitude of sinusoidal functions from graphMidline of sinusoidal functions from equationPeriod of sinusoidal functions from graphMidline of sinusoidal functions from graphInterpreting trigonometric graphs in contextModeling with sinusoidal functionsGraph of y=sin(x)Intersection points of y=sin(x) and y=cos(x)Amplitude & period of sinusoidal functions from equationTransforming sinusoidal graphs: vertical & horizontal stretchesTransforming sinusoidal graphs: vertical stretch & horizontal reflectionTrig word problem: modeling annual temperatureTrig word problem: length of day (phase shift)Transforming exponential graphsFeatures of sinusoidal functionsGraphing logarithmic functions (example 1)Example: Graphing y=3⋅sin(½⋅x)-2Example: Graphing y=-cos(π⋅x)+1.5Transforming exponential graphs (example 2)Graph of y=tan(x)Graphing exponential functionsTrig word problem: modeling daily temperatureGraphical relationship between 2ˣ and log₂(x)Sinusoidal function from graphGraphing logarithmic functions (example 2)

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