document.write( "Question 977329: Assume that f(2)=3. Assume also that the graph of y=f(x) is symmetric with respect to the line x=-3. Find another value for the function. \n" ); document.write( "
Algebra.Com's Answer #598869 by Edwin McCravy(20077)\"\" \"About 
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Assume that f(2)=3. Assume also that the graph of y=f(x) is symmetric with respect to the line x=-3. Find another value for the function.
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document.write( "f(2)=3 means that when you substitute x=2 in the equation\r\n" );
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document.write( "y = f(x)\r\n" );
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document.write( "like this:\r\n" );
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document.write( "y = f(2)\r\n" );
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document.write( "That the value of y is 3 because f(2) = 3\r\n" );
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document.write( "That means that the graph contains the point (x,y) = (2,3)\r\n" );
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document.write( "So we plot that point (2,3) and the line x=-3, which is a vertical line \r\n" );
document.write( "through -3 on the x axis, the green line below:\r\n" );
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document.write( "We want to reflect that point across the green line.  Let's draw a dotted line\r\n" );
document.write( "from that point (2,3) to the green line, like this:\r\n" );
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document.write( "We notice that the dotted line is 5 units.  So to reflect the point (2,3)\r\n" );
document.write( "across the green line we extend the 5-unit dotted line 5 units to the left\r\n" );
document.write( "of the green line like this:\r\n" );
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document.write( "So another point on the graph is (-8,3).\r\n" );
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document.write( "Answer: another value is f(-8)=3\r\n" );
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document.write( "[Recall that f(a)=b means that the point (a,b) is on the graph of f(x)]\r\n" );
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document.write( "The graph could look something line this: \r\n" );
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document.write( "Edwin
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