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    Graphing Sample Problems

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    Please help with the following problems.

    1. Express each function graphed in terms of a base function.
    2. Sketch the graph of a function based on a given base function.
    For example: Given f(x), sketch: f(x+3).

    See the attached file.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:18 am ad1c9bdddf


    Solution Preview

    See the attached file.

    I could not see #5 - 12 clearly, but I can still instruct you on how to complete the assignment.

    What to do:
    1. Each graph should be like f(x) but with a change. (Please see attached PDF file for a description and examples of each type of transformation.)

    You need to look at each graph and ask yourself, relative to f(x) what happened?

    Example a: if the graph moved to the right, then that's a horizontal shift expressed as f(x+c).

    So if it moved 5 to the right, your answer would be f(x-5).

    Question: How do you know how many it ...

    Solution Summary

    This solution provides steps to correctly sketch the graph of the transformation of a function based on a prescribed base function. It helps express graphed functions in terms of a base function and helps sketch graphs of a function from a given base function.