document.write( "Question 1183250: Find a possible formula for the trigonometric function whose values are in the following table.
\n" ); document.write( "
\n" ); document.write( "x 0 4 8 12 16 20 24
\n" ); document.write( "y 3 -1 -5 -1 3 -1 -5\r
\n" ); document.write( "\n" ); document.write( "y=\r
\n" ); document.write( "\n" ); document.write( "im really confused how to figure this question out \n" ); document.write( "

Algebra.Com's Answer #813476 by ikleyn(52858) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find a possible formula for the trigonometric function whose values are in the following table.
\n" ); document.write( "

\r\n" );
document.write( "x  0   4   8   12  16   20   24\r\n" );
document.write( "y  3  -1  -5   -1   3   -1   -5\r\n" );
document.write( "

y=
\n" ); document.write( "I'm really confused how to figure this question out
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The minimum is -5;  the maximum is 3.\r\n" );
document.write( "\r\n" );
document.write( "Hence, the midline is -1 and the amplitude is 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The table dictates to use the cosine function.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The period starts from 0 and ends at 16.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the trigonometry function is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    y = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Here \"-1\"  represents the midline;  the factor \"4\"  represents the amplitude;  and the factor (x/16)  models the 16 units period.\r\n" );
document.write( "

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

\n" );