document.write( "Question 1205931: 2. Describe what the graph of f(x) = -sin(3x - 𝝿) - 2 would look like? Address all numerical elements and their effects on the parent function. \n" ); document.write( "

Algebra.Com's Answer #843049 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Describe what the graph of f(x) = -sin(3x - 𝝿) - 2 would look like?
\n" ); document.write( "Address all numerical elements and their effects on the parent function.
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\n" ); document.write( "\n" ); document.write( " The solution/answer by @MathLover1 in not completely correct.\r
\n" ); document.write( "\n" ); document.write( " I came to fix an error in her solution.\r
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document.write( "Given function  f(x) =   is IDENTICAL to / (is the same as)\r\n" );
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document.write( "                f(x) = .\r\n" );
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document.write( "The parent finction is  a(x) = sin(x).\r\n" );
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document.write( "Amplitude of f(x) is 1.\r\n" );
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document.write( "Period of f(x) is .\r\n" );
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document.write( "Phase shift of f(x) is  0  (zero).\r\n" );
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document.write( "Vertical shift is  -2  (2 units down).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Find the difference between my solution/answer and solution/answer by @MathLover1.\r
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\n" ); document.write( "\n" ); document.write( "This problem is a TRAP : it has a huge underwater stone for unexperienced reader.\r
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\n" ); document.write( "\n" ); document.write( "The sign \"-\" (minus) before sine and the shift by $\"pi\"$ in the argument
\n" ); document.write( "mutually annihilate each other, so the final function, actually, has no shift (!)\r
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\n" ); document.write( "\n" ); document.write( "The meaning of the problem is to teach a reader recognizing
\n" ); document.write( "such traps to avoid falling into them in the future.\r
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