document.write( "Question 970692: How do you find the Vertex, focus, directric of the parabola and sketch its graph for the below equation?
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document.write( "y=2x^2\r
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document.write( "Vertex: ______
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document.write( "Focus: _____
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document.write( "Directrix _______
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document.write( "Axis of Symmetry: Vertical or Horizontal\r
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Algebra.Com's Answer #593286 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How do you find the Vertex, focus, directrix of the parabola? Sketch its graph for the below equation? \n" ); document.write( "y=2x^2 \n" ); document.write( "Vertex: ______ \n" ); document.write( "vertex occurs where x = -b/(2a) = -0/4 = 0 \n" ); document.write( "then f(0) = 0 \n" ); document.write( "So the vertex is (0,0) \n" ); document.write( "-------------------------------- \n" ); document.write( "Focus: _____ \n" ); document.write( "Write the equation is vertex form:: \n" ); document.write( "(x-0)^2 = (1/2)(y-0) \n" ); document.write( "Then 4p = 1/2, so p = 1/8 \n" ); document.write( "--- \n" ); document.write( "Focus is at (0,0+p) = (0,1/8) \n" ); document.write( "------------------------------------- \n" ); document.write( "Directrix _______ \n" ); document.write( "Directrix is y = 0-p = -1/8 \n" ); document.write( "------------------------------ \n" ); document.write( "Axis of Symmetry: Vertical or Horizontal \n" ); document.write( "The vertical axis of symmetry is x = 0 \n" ); document.write( "------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------------- \n" ); document.write( " |