document.write( "Question 1112899: Use the vertex
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document.write( "(h, k) (-4,-1)
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document.write( " and a point on the graph
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document.write( "(x, y) (-6,3)
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document.write( " to find the general form of the equation of the quadratic function.
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Algebra.Com's Answer #727920 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "From the condition, using the info about the vertex, you can write\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "y = a*(x-(-4))^2 - 1, or, which is the same\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "y = a*(x+4)^2 -1,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where \"a\" is unknown real coefficient. To find \"a\", use given condition on another point. It gives you an equation\r\n" ); document.write( "\r\n" ); document.write( "3 = a*((-6)+4)^2 -1, which is equivalent to\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "4 = a*2^2, or 4 = 4a.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, a= 1, and your quadratic function is y = (x+4))^2 - 1.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |