<PRE><B>Question 85097</B>
a)  use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9.
b)  using the graph of f(x)=x^2 as a guide, graph the function g(x)=(x+4)^2+2
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Sketch the graph of y=x^2
{{{graph(400,300,-10,10,-10,10,x^2)}}}
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a) The (x+5) in place of x shifts the y=x^2 five units to the left.
   the -9 moves the resulting graph nine units down.
{{{graph(400,300,-10,10,-10,10,(x+5)^2-9)}}}

b) The (x+4) in place of x shifts the y=x^2 four units to the left.
   the +2 moves the resulting graph two units up.
{{{graph(400,300,-10,10,-10,10,(x+4)^2+2)}}}
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Cheers,
Stan H.
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