F.1.ATMM.6: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude

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 Resources
Midline, amplitude, and period reviewSymmetry of algebraic modelsGraph sinusoidal functionsGraphs of logarithmic functionsAmplitude of sinusoidal functions from equationGraph sinusoidal functions: phase shiftConstruct sinusoidal functionsPeriod of sinusoidal functions from equationGraphs of exponential functionsGraphing exponential growth & decayPeriodicity of algebraic modelsEnd behavior of algebraic modelsGraphs of exponential growthModeling 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 reflectionIntro to exponential functionsExponential function graphTrig word problem: modeling annual temperatureTrig word problem: length of day (phase shift)Transforming exponential graphsGraphing exponential growth & decayPeriodicity of algebraic modelsFeatures of sinusoidal functionsGraphs of exponential growthEnd behavior of algebraic modelsSymmetry of algebraic modelsGraphing 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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