AII-F.BF.3b
Using f(x) + k, k f(x), f(kx), and f(x + k): i) identify the effect on the graph when replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); ii) find the value of k given the graphs; iii) write a new function using the value of k; and iv) use technology to experiment with cases and explore the effects on the graph. Include recognizing even and odd functions from their graphs. (Shared standard with Algebra I)
Example Problems
The graph of is shifted to the left by 5 units.
What is the equation of the new graph?
What is the equation of the new graph?
The graph of is reflected across the y-axis only.
What is the equation of the new graph?
What is the equation of the new graph?
The parabola is reflected across the -axis.
What is the equation of the new parabola?
What is the equation of the new parabola?
Khan Academy ResourcesScale & reflect absolute value graphsScale & reflect parabolasShift absolute value graphsShift parabolasShifting absolute value graphsScaling & reflecting absolute value functions: graphScaling & reflecting parabolasIntro to parabola transformationsShifting parabolasScaling & reflecting absolute value functions: equation

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