document.write( "Question 448478: Find the amplitude, period, and phase shift.\r
\n" ); document.write( "\n" ); document.write( "y = 10*cos(½x)
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #308581 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the amplitude, period, and phase shift.\r
\n" ); document.write( "\n" ); document.write( "y = 10*cos(½x)\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Rule:\r\n" );
document.write( "\r\n" );
document.write( "For either y = A*sin(Bx+C) or y = A*cos(Bx+C)\r\n" );
document.write( "\r\n" );
document.write( "Amplitude = |A|\r\n" );
document.write( "Period = 2p/B\r\n" );
document.write( "Phase shift = C/B and if that is positive the phase \r\n" );
document.write( "shift is left and if negative the phase shift is right.\r\n" );
document.write( "\r\n" );
document.write( "y = 10*cos(½x)\r\n" );
document.write( "\r\n" );
document.write( "y = 10*cos(½x+0)\r\n" );
document.write( "\r\n" );
document.write( "A = 10, B = ½, C = 0.\r\n" );
document.write( "\r\n" );
document.write( "Amplitude = |A| = |10| = 10\r\n" );
document.write( "Period = 2p/B = 2p/½ = 2p*2 = 4p\r\n" );
document.write( "Phase shift = C/B = 0/½ = 0 (No phase shift).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "This is the graph of one period of y = 10*cos(½x).\r\n" );
document.write( "Notice that it goes from 0 to 4p.\r\n" );
document.write( "Notice that the x-intercepts are at 0, p,\r\n" );
document.write( "2p, 3p, and 4p \r\n" );
document.write( "\r\n" );
document.write( "Notice that the three green lines are 10 units each,\r\n" );
document.write( "which is the amplitude.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );