college algebra

Graph the following function using transformations.  Be sure to graph all of the stages on one
graph.  State the domain and range.   
For example, if you were asked to graph  y= x^2+11 using transformations, you would show the
graph of y = x^2 and the graph shifted up 1 unit.  Please do not show only the final graph.
Y=x^2+12x

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  1. you would complete the square ....

    y = x^2 + 12x + 36 - 36
    = (x+6)^2 - 36

    so y= x^2 would be translated to the LEFT 6 units, an down 36

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    posted by Reiny

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