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    Transformation of the graph of a function

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See file for an example from textbook.
    I plugged in x^2 + 6x + 10 into my calculator and got the required graph and the answer of -3 units parallel to the x-axis.
    But how does one come to this answer of -3units 'manually' without using a calculator?
    Thank you.

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    Solution Preview


    We can write it as

    g = x^2 + 6x + 10

    g = x^2 + 6x + 9 + 1

    g = (x + 3)^2 + 1

    Compare it with the ...

    Solution Summary

    Detailed step by step solution is provided. It also explains how to find vertex of quadratic function without using calculator.