document.write( "Question 1188486: Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3). \n" ); document.write( "

Algebra.Com's Answer #819575 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3).
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document.write( "This function is a quadratic function, and its vetex form is\r\n" );
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document.write( "    y = .\r\n" );
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document.write( "The only thing we need is to find the unknown coefficient \"a\" (the leading term).\r\n" );
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document.write( "For it, we write equation for the given point\r\n" );
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document.write( "    -3 = .\r\n" );
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document.write( "Then we have\r\n" );
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document.write( "    -3 = a*1^2 - 6\r\n" );
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document.write( "    -3 + 6 = a\r\n" );
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document.write( "     a     = 3.\r\n" );
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document.write( "ANSWER.  The function is a quadratic function  y = .\r\n" );
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