document.write( "Question 845539: I have to use the graph of y=f(x) to graph the function g(x)=f(-x)-4 \n" ); document.write( "

Algebra.Com's Answer #509376 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Graph $\"f%28x%29\"$ and at each x point, use the y point and move 4 units down and then cross the y axis to $\"-x\"$ . The entire graph will look exactly like f(x)
\n" ); document.write( "except mirrored across the y-axis and will be 4 units lower.
\n" ); document.write( "Here's an example.
\n" ); document.write( " $\"f%28x%29=%281%2F2%29x%5E3-2\"$
\n" ); document.write( " $\"g%28x%29=f%28-x%29-4=-%281%2F2%29x%5E3-2x-6\"$
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\n" ); document.write( "Here's the mirror of $\"f%28x%29\"$ across the y-axis.
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F2%29x%5E3-2%2C-%281%2F2%29x%5E3-2%29\"$
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\n" ); document.write( "Now here it is with $\"f%28x%29\"$ and $\"g%28x%29\"$ together.
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F2%29x%5E3-2%2C-%281%2F2%29x%5E3-6%29\"$
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\n" ); document.write( " $\"f%28x%29\"$ is in red.
\n" ); document.write( " $\"g%28x%29\"$ is in green. \n" ); document.write( "

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