document.write( "Question 625611: for the function f defined by f(x)=4x^2+5x+9, find the following values:
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Algebra.Com's Answer #393647 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "For the function f defined by f(x)=4x^2+5x+9, find the following values:\r\n" );
document.write( "a. f(-2)=\r\n" );
document.write( "b. f(-x)=\r\n" );
document.write( "c.-f(x)=\r\n" );
document.write( "d. f(x+h)=\r\n" );
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document.write( "Solution:\r\n" );
document.write( "These are actually much easier to do than you might think. One challenging part can be \r\n" );
document.write( "dealing with the negative signs. Let's start with the first one.\r\n" );
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document.write( "a. Find f(-2)\r\n" );
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document.write( "Start with the function f and substitute -2 for x in the right hand side.\r\n" );
document.write( "\"f%28x%29=4x%5E2%2B5x%2B9\"\r\n" );
document.write( "\"f%28-2%29+=+4%28-2%29%5E2%2B5%28-2%29%2B9\"\r\n" );
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document.write( "Clear the parentheses on the right hand side; (-2) squared is 4 because (-2)(-2)=4.\r\n" );
document.write( "\"f%28-2%29=4%284%29%2B%28-10%29%2B9\"\r\n" );
document.write( "\"f%28-2%29=16-10%2B9\"\r\n" );
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document.write( "Add the constant terms on the right hand side.\r\n" );
document.write( "\"f%28-2%29=15\"\r\n" );
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document.write( "I'll set up the others for you. \r\n" );
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document.write( "b.\"f%28-x%29=4%28-x%29%5E2%2B5%28-x%29%2B9\"\r\n" );
document.write( "Remember that (-x) squared is x^2.\r\n" );
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document.write( "c. \"-f%28x%29=-%284x%5E2-5x%2B9%29\"\r\n" );
document.write( "Distribute the negative sign across every term on the right hand side.\r\n" );
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document.write( "d. \"f%28x%2Bh%29+=+4%28x%2Bh%29%5E2-5%28x%2Bh%29+%2B9\"\r\n" );
document.write( "This is the most complex substitution of the set. However, if you plan to take calculus, the f(x+h) \r\n" );
document.write( "substitution is one you will do A LOT...good to practice now.\r\n" );
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document.write( "Try these on your own. Email me if you have questions or if you want me to check your answers.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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