document.write( "Question 1128231: A sinusoidal function whose period is 12 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.\r
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document.write( "What is the equation of the function described?\r
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document.write( "f(x)=7cos(4x)+3\r
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document.write( "f(x)=7cos(4πx)+3\r
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document.write( "f(x)=7sin(4πx)+3\r
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document.write( "f(x)=7sin(4x)+3 \n" );
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Algebra.Com's Answer #744732 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "With a maximum of 10 and a minimum of -4, the center line is y=3 and the amplitude is 7. In all of the answer choices the \"7\" and \"3\" are in the right place. \n" ); document.write( "The period of sin(kx) or cos(kx) is 2pi/k. With the given answer choices, the period is then either 2pi/4pi = 1/2 or 2pi/4 = pi/2. \n" ); document.write( "A period of 12 is not possible with the given answer choices. Apparently the period is supposed to be 1/2 instead of 12. \n" ); document.write( "It would be polite to make sure you have shown your question correctly before posting..... \n" ); document.write( "So assuming the period is supposed to be 1/2, then the answer has to involve either sin((4pi)x) or cos((4pi)x). Since the y-intercept of 3 is the center line of the function, the function is a sine function. \n" ); document.write( "ANSWER: f(x) = 7sin((4pi)x)+3 \n" ); document.write( " |