Question 638522
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+ 1 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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Initial curve: y = x^2 with x intercepts at (0,0)
Domain: All Real Numbers
Range: All Real Numbers >= 0
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Transposed form:
y = x(x+12) has x intercepts at (0,0) and (-12,0)
Domain: All Real Numbers
Range: All Real Numbers >= -36
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Both forms on same graph:
{{{graph(400,400,-20,20,-40,20,x^2,x^2+12x)}}}
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Cheers,
Stan H.