document.write( "Question 857840: Describe the transformations performed on f(x)=x^2, to make the following:
\n" ); document.write( "F(x)=2x^2-1
\n" ); document.write( "

Algebra.Com's Answer #516874 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Describe the transformations performed on f(x)=x^2, to make the following:
\n" ); document.write( "F(x)=2x^2-1
\n" ); document.write( "
\r\n" );
document.write( "Start with f(x) = x²\r\n" );
document.write( "\r\n" );
document.write( "which has this blue graph:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "then we multiply the right side by 2, which stretches the graph\r\n" );
document.write( "by a factor or 2:\r\n" );
document.write( "\r\n" );
document.write( "giving the green graph:\r\n" );
document.write( "\r\n" );
document.write( "g(x) = 2x²\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then we subtract 1 from the right side, which shifts the graph\r\n" );
document.write( "down 1 unit.  That's the red graph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );