AIII.G.39: Explain the effects of changing the parameters in transformations of functions.

Explain the effects of changing the parameters in transformations of functions.

Example Problems
The graph of is reflected across the y-axis only.

What is the equation of the new graph?
The graph of is reflected across the x-axis only.

What is the equation of the new graph?
The graph of is scaled vertically by a factor of .

What is the equation of the new graph?
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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