document.write( "Question 1036048: From the equation, find the vertex, focus, directrix, and latus rectum.\r
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document.write( "Please show me steps because i have been trying since yesterday and kept getting my answers wrong. Thankyou! \n" );
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Algebra.Com's Answer #650634 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! That is a form which you could get if you were given the focus and directrix and then derived the equation shown. The process would have gone like any of these:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Deriving parabola equation, vertex at Origin, horizontal symmetry axis \n" ); document.write( "- \n" ); document.write( "Deriving parabola equation, vertex not at Origin, vertical symmetry axis\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can read some information directly from the equation which you have. \n" ); document.write( "The vertex is (-3,4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The negative coefficient on the x side tells you that this has a graph with horizontal symmetry axis and the parabola opens toward the left, and vertex is a rightmost point on the parabola.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A value p is the distance between the vertex and either the focus or directrix. You have 8=4p, which is what you learn in making the derivation. You can solve for p and determine the focus and the directrix. \n" ); document.write( " |