HSF.BF.B.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 (k, a constant both positive and negative). Find the value of k given the graphs of the transformed functions. Experiment with multiple transformations and illustrate an explanation of the effects on the graph with or without technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Khan Academy Resources

Absolute value graphs reviewFunction symmetry introductionSymmetry of polynomialsRadical functions & their graphsGraph sinusoidal functionsEven and odd functions: Graphs and tablesIdentify function transformationsGraphs of logarithmic functionsScale functions horizontallyAmplitude of sinusoidal functions from equationGraph sinusoidal functions: phase shiftScale & reflect absolute value graphsConstruct sinusoidal functionsPeriod of sinusoidal functions from equationGraphs of square and cube root functionsReflect functionsGraphs of exponential functionsShift functionsScale functions verticallyScale & reflect parabolasEven & odd functions: EquationsShift absolute value graphsMidline of sinusoidal functions from equationShift parabolasAmplitude & period of sinusoidal functions from equationTransforming sinusoidal graphs: vertical & horizontal stretchesTransforming sinusoidal graphs: vertical stretch & horizontal reflectionFunction symmetry introductionTransforming exponential graphsEven and odd functions: GraphsShifting absolute value graphsScaling functions introductionScaling & reflecting absolute value functions: graphScaling & reflecting parabolasEven and odd functions: TablesGraphing logarithmic functions (example 1)Scaling functions horizontally: examplesShifting functions introductionIntro to parabola transformationsReflecting functions: examplesTransforming exponential graphs (example 2)Shifting parabolasShifting functions examplesScaling & reflecting absolute value functions: equationGraphing exponential functionsReflecting functions introductionIdentifying function transformationsScaling functions vertically: examplesGraphing shifted functionsEven and odd functions: EquationsEven and odd functions: Find the mistakeSinusoidal function from graphIdentifying horizontal squash from graphGraphing logarithmic functions (example 2)

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