document.write( "Question 865400: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2.\r
\n" ); document.write( "\n" ); document.write( "thank you!
\n" ); document.write( "

Algebra.Com's Answer #521675 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Start with y = x^2. This is a parabola that opens upward.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Vertically compress the graph of y = x^2 by a factor of 2 to get y = 0.5x^2 (so it's half as high as before, it's vertically \"squished\" a bit)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then shift y = 0.5x^2 two units down to get y = 0.5x^2 - 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here are the graphs of y = x^2, y = 0.5x^2, and y = 0.5x^2 - 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );