# college algebra

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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

• college algebra -

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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