document.write( "Question 617467: After a reflection in the x-axis, the parabola y=x^2-10 would have the equation? \n" ); document.write( "

Algebra.Com's Answer #388340 by jsmallt9(3758) $\"\"$ $\"About$

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When any graph is reflected in the x axis, all the y coordinates change signs. Points with positive y coordinates become points with negative y coordinates. (the x coordinates stay the same.) And the points that had negative y coordinates become points with positive y coordinates. This has the effect of moving all the points above the x axis to below the x axis and vice versa.\n" ); document.write( "The equation for the reflected graph will have the y's replaced by -y's. So
\n" ); document.write( "the equation for the reflection of
\n" ); document.write( " $\"y+=+x%5E2-10\"$
\n" ); document.write( "will be:
\n" ); document.write( " $\"-y+=+x%5E2-10\"$
\n" ); document.write( "or, solving for y:
\n" ); document.write( " $\"y+=+-x%5E2%2B10\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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