document.write( "Question 1033490: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point
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document.write( "Vertex: (2, -1); point: (4, -3)
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Algebra.Com's Answer #648109 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! Vertex form -\r \n" ); document.write( "\n" ); document.write( "y-k=a(x-h)^2\r \n" ); document.write( "\n" ); document.write( "enter the given vertex -\r \n" ); document.write( "\n" ); document.write( "y+1=a(x-2)^2 (<<< you see why it's y+1. y- (-1) is y+1)\r \n" ); document.write( "\n" ); document.write( "Now we have the equation with one unknown to solve, \"a\". So use the given point.\r \n" ); document.write( "\n" ); document.write( "-3+1=a(4-2)^2\r \n" ); document.write( "\n" ); document.write( "-2=a *4\r \n" ); document.write( "\n" ); document.write( "a= -1/2\r \n" ); document.write( "\n" ); document.write( "y+1=-1/2(x-2)^2 \r \n" ); document.write( "\n" ); document.write( "A graph to help illustrate the results \r \n" ); document.write( "\n" ); document.write( " ![]() |