document.write( "Question 948107: A parabola has the vertex (2, -30 ) and passes through the point (5, -12 ). Find a function f with this graph.\r
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document.write( "f(x) =\r
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document.write( "Please explain how I would find the solution\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #578631 by stanbon(75887) ![]() You can put this solution on YOUR website! A parabola has the vertex (2, -30 ) and passes through the point (5, -12 ). Find a function f with this graph. \n" ); document.write( " f(x) = \n" ); document.write( "Please explain how I would find the solution \n" ); document.write( "----- \n" ); document.write( "Vertex form:: \n" ); document.write( "a(x-h)^2 = y-k \n" ); document.write( "--------------------------- \n" ); document.write( "Solve for \"a\":: \n" ); document.write( "a(x-2)^2 = y+30 \n" ); document.write( "----- \n" ); document.write( "a(5-2)^2 = -12+30 \n" ); document.write( "---- \n" ); document.write( "9a = 18 \n" ); document.write( "a = 2 \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "2(x-2)^2 = y+30 \n" ); document.write( "------- \n" ); document.write( "y = 2(x-2)^2 -30 \n" ); document.write( "------- \n" ); document.write( "y = 2x^2 - 8x -26 \n" ); document.write( "------------------------ \n" ); document.write( " \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |