document.write( "Question 606513: I am trying to write an equation for a parabola that has been sketched in my math book. I need it in standard form. x-h=a(y-k)^2.
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document.write( " The points given in the graph are (-1,2), (0,1), (0,3), (3,0), and (3,4).
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document.write( " I know that h=-1 and k=2 because those are the coordinates of the vertex, but I'm not sure what the 'a' represents or how to solve for it. Thanks!
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Algebra.Com's Answer #382088 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I need it in standard form. x-h=a(y-k)^2. \n" ); document.write( "The points given in the graph are (-1,2), (0,1), (0,3), (3,0), and (3,4). \n" ); document.write( "I know that h=-1 and k=2 because those are the coordinates of the vertex, but I'm not sure what the 'a' represents or how to solve for it. \n" ); document.write( "---- \n" ); document.write( "Since you \"know\" that h = -1 and k = 2, you have: \n" ); document.write( "x+1 = a(y-2)^2 \n" ); document.write( "---- \n" ); document.write( "Use one of the points to solve for \"a\": \n" ); document.write( "Using (3,4) you get: \n" ); document.write( "3+1 = a(4-2)^2 \n" ); document.write( "4 = a(4) \n" ); document.write( "a = 1 \n" ); document.write( "-------------------------- \n" ); document.write( "Equation: \n" ); document.write( "x+1 = (y-2)^2 \n" ); document.write( "x = (y-2)^2 - 1 \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " \n" ); document.write( " |