document.write( "Question 1062508: Please help me find $\"+a+\"$ , $\"+b+\"$ & $\"+c+\"$ for the function
\n" ); document.write( " $\"f%28x%29\"$ $\"%22%22=%22%22\"$ $\"a%2Asin%28bx%2Bc%29\"$ . The graph of $\"+f+\"$ must match this
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Algebra.Com's Answer #677430 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "That's a sine graph shifted left from the origin (0,0)\r\n" );
document.write( "to the first x-intercept left of the x-axis.\r\n" );
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document.write( "Since the highest it goes in 2, and the lowest it goes is\r\n" );
document.write( "-2, the amplitude, a, is 2.\r\n" );
document.write( "So we have so far:\r\n" );
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document.write( "The period is given by the formula \r\n" );
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document.write( "Each mark on the x-axis represents π because there\r\n" );
document.write( "are 6 of them and the 6π at the right end of the graph\r\n" );
document.write( "lets us know that each mark counts as π.\r\n" );
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document.write( "We can tell the period because it's the distance along\r\n" );
document.write( "the x-axis from 1 peak to the next.\r\n" );
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document.write( "The peak marked (-π/2,2) has x-coordinate -π/2 and the\r\n" );
document.write( "next peak is halfway between 3π and 4π which is , \r\n" );
document.write( "or  or . So the period is the \r\n" );
document.write( "difference of these two x-values, which is \r\n" );
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document.write( "Since the period is given by the formula , we have\r\n" );
document.write( "the equation:  \r\n" );
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document.write( "Multiply both sides by b\r\n" );
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document.write( "Divide both sides by 4π\r\n" );
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document.write( "Cancel the π's:\r\n" );
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document.write( "So we have so far:\r\n" );
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document.write( "Finally we need to know the phase shift which is ,\r\n" );
document.write( "right if it's negative and left if it's positive.\r\n" );
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document.write( "The first x-intercept left of the origin is halfway\r\n" );
document.write( "between -π and -2π which is , \r\n" );
document.write( "or  or . \r\n" );
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document.write( "So c = that with a positive sign since it shifts left from (0,0,)\r\n" );
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document.write( "So the final answer is\r\n" );
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document.write( "Edwin

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