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
\n" ); document.write( "\n" ); document.write( "f(x) =\r
\n" ); document.write( "\n" ); document.write( "Please explain how I would find the solution\r
\n" ); document.write( "\n" ); document.write( "Thank you
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Algebra.Com's Answer #578631 by stanbon(75887)\"\" \"About 
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
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\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
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\n" ); document.write( "\"graph%28400%2C400%2C-50%2C50%2C-50%2C50%2C2x%5E2-8x-26%29\"
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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