MI.F-BF.B.3
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear and exponential models. (Focus on vertical translations for exponential functions). Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
Khan Academy ResourcesFunction 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 shiftConstruct sinusoidal functionsPeriod of sinusoidal functions from equationGraphs of square and cube root functionsReflect functionsGraphs of exponential functionsShift functionsScale functions verticallyEven & odd functions: EquationsMidline of sinusoidal functions from equationAmplitude & period of sinusoidal functions from equationTransforming sinusoidal graphs: vertical & horizontal stretchesTransforming sinusoidal graphs: vertical stretch & horizontal reflectionFunction symmetry introductionTransforming exponential graphsEven and odd functions: GraphsScaling functions introductionEven and odd functions: TablesGraphing logarithmic functions (example 1)Scaling functions horizontally: examplesShifting functions introductionReflecting functions: examplesTransforming exponential graphs (example 2)Shifting functions examplesGraphing 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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