document.write( "Question 1012213: The graph of a parent function f(x)=x would be stretched horizontally by a factor of 2 and reflected over the Y axis if f(x) is replaced to what? \n" ); document.write( "

Algebra.Com's Answer #628156 by josmiceli(19441) $\"\"$ $\"About$

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$\"+f%28x%29+=+x+\"$
\n" ); document.write( " $\"+y+=+x+\"$
\n" ); document.write( "This is a line with positive slope through
\n" ); document.write( "the origin at a 45 degree angle to the
\n" ); document.write( "x-axis
\n" ); document.write( "------------
\n" ); document.write( "If I say:
\n" ); document.write( " $\"+y+=+%281%2F2%29%2Ax+\"$ , that will bring the line
\n" ); document.write( "closer to the x-axis and pull it away from
\n" ); document.write( "the y-axis
\n" ); document.write( "------------
\n" ); document.write( "If I replace all the $\"+x+\"$ values with $\"+-x+\"$
\n" ); document.write( "then the line will be reflected about the y-axis, so
\n" ); document.write( "the answer is:
\n" ); document.write( " $\"+f%28x%29+=+-%281%2F2%29%2Ax+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Here's a plot of the line:
\n" ); document.write( " $\"+y+=+x+\"$
\n" ); document.write( " $\"+y+=+%281%2F2%29%2Ax+\"$
\n" ); document.write( " $\"+y+=+-%281%2F2%29%2Ax+\"$
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