document.write( "Question 1041244: Graph y=-4x^2-2 and its inverse. \n" ); document.write( "

Algebra.Com's Answer #656218 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+y+=+-4x%5E2+-+2+\"$
\n" ); document.write( "Swap x's and y's to get inverse:
\n" ); document.write( " $\"+x+=+-4y%5E2+-+2+\"$
\n" ); document.write( " $\"+-4y%5E2+=+x+%2B+2+\"$
\n" ); document.write( " $\"+y%5E2+=+%28-1%2F4%29%2A%28+x+%2B+2+%29+\"$
\n" ); document.write( " $\"+y+=+sqrt%28+%28-1%2F4%29%2A%28+x+%2B+2+%29+%29+\"$
\n" ); document.write( "Note that $\"+x+%3C=+-2+\"$ in order for
\n" ); document.write( "this inverse function to have real values
\n" ); document.write( "Also, I have to plot
\n" ); document.write( " $\"+y+=+-sqrt%28+%28-1%2F4%29%2A%28+x+%2B+2+%29+%29+\"$
\n" ); document.write( "because it's included also
\n" ); document.write( "----------------------------------
\n" ); document.write( "Here are the plots:
\n" ); document.write( "

This looks right since there is a reflection on the $\"+y+=+x+\"$ line \n" ); document.write( "

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