document.write( "Question 752927: Graph function using the techinique of shifting, compressing, strecthing and /or reflecting
\n" ); document.write( " f(x)=5(x+4)^2+1 \n" ); document.write( "
Algebra.Com's Answer #458125 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Graph function using the techinique of shifting, compressing, strecthing and /or reflecting
\n" ); document.write( " f(x)=5(x+4)^2+1
\n" ); document.write( "
\r\n" );
document.write( "One important thing to remember in these problems is that \r\n" );
document.write( "we must shift vertically UP or DOWN last.\r\n" );
document.write( "\r\n" );
document.write( "We start with\r\n" );
document.write( "\r\n" );
document.write( "y = x2\r\n" );
document.write( "\"graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2Cx%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "Then we stretch it vertically by a factor of 5 by multiplying\r\n" );
document.write( "the right side by 5 and we get\r\n" );
document.write( "\r\n" );
document.write( "y = 5x2\r\n" );
document.write( "\"graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2C5x%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "Then we shift it horizontally to the left four units by \r\n" );
document.write( "replacing x by (x+4) in the right side and we get:\r\n" );
document.write( "\r\n" );
document.write( "y = 5(x+4)2\r\n" );
document.write( "\"graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2C5%28x%2B4%29%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "Then finally we shift it vertically up by 1 unit by adding 1 \r\n" );
document.write( "to the right side.:\r\n" );
document.write( "\r\n" );
document.write( "y = 5(x+4)2+1\r\n" );
document.write( "\"graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2C5%28x%2B4%29%5E2%2B1%29\"\r\n" );
document.write( "\r\n" );
document.write( "And that is the graph of\r\n" );
document.write( "\r\n" );
document.write( "f(x) = 5(x+4)2+1\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );