SOLUTION: 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

Algebra ->  Functions -> SOLUTION: 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      Log On


   

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
I can't figure out what this means. I have seen helpful sites over and over again and am still at a loss on how to solve this one. Please help.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C400%2C-20%2C20%2C-40%2C20%2Cx%5E2%2Cx%5E2%2B12x%29
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Cheers,
Stan H.