document.write( "Question 263457: given the graph y=f(x) where f(x)=-(x-1)^2+1, find the graph of -f(x+1)^2+2 \n" ); document.write( "

Algebra.Com's Answer #194150 by drk(1908) $\"\"$ $\"About$

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If we know the original graph as
\n" ); document.write( "f(x) = -(x-1)^2+1,
\n" ); document.write( "then
\n" ); document.write( "horizontal shift 2 units left
\n" ); document.write( "vertical shift 1 unit up.
\n" ); document.write( "here is the graph of f(x)=-(x-1)^2+1
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-%28x-1%29%5E2%2B1%29+\"$
\n" ); document.write( "here is the graph of -f(x+1)^2+2
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-%28x%2B1%29%5E2%2B2%29+\"$ \n" ); document.write( "

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