Examples, solutions, videos, and lessons to help High School students learn how to 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. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.Related Topics:
Common Core: HSF-BF.B.3The following table gives the transformation rules for functions: Vertical and horizontal translations, Reflection over the x-axis and y-axis, Vertical and horizontal stretch, Vertical and horizontal compression. Scroll down the page for examples and solutions on how to use the transformation rules.
Function Transformations: Horizontal and Vertical Stretches and Compressions
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
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