document.write( "Question 1193868: A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b.\r
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Algebra.Com's Answer #825913 by ikleyn(52905) $\"\"$ $\"About$

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\n" ); document.write( "A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b.\r
\n" ); document.write( "\n" ); document.write( "b) The graph of f(x) = x^2 is transformed to obtain the graph of g. Describe this transformation.
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document.write( "(a)  To answer question  (a),  you should substitute  -1  instead of  x  in the formula and substitute   8  instead of  y.\r\n" );
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document.write( "     You will get then\r\n" );
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document.write( "         (-1)^2 + b(-1) + 11 = 8,\r\n" );
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document.write( "     or\r\n" );
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document.write( "         1      - b    + 11 = 8\r\n" );
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document.write( "         1      - 8    + 11 = b\r\n" );
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document.write( "                  4         = b.\r\n" );
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document.write( "     ANSWER.  b = 4.   The function  g(x)  is  g(x) = .\r\n" );
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document.write( "(b)  So, the function  g(x)  is  g(x) = .\r\n" );
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document.write( "     Complete the square and get  g(x) =  = .\r\n" );
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document.write( "     This formula says you that to get the plot of g(x), you should start\r\n" );
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document.write( "     from plot of function  y = ,  translate it 2 units left  and 7 units vertically up.\r\n" );
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