document.write( "Question 1036048: From the equation, find the vertex, focus, directrix, and latus rectum.\r
\n" ); document.write( "\n" ); document.write( "\"%28y-4%29%5E2+=+-8%28x%2B3%29\"\r
\n" ); document.write( "\n" ); document.write( "Please show me steps because i have been trying since yesterday and kept getting my answers wrong. Thankyou!
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Algebra.Com's Answer #650634 by josgarithmetic(39618)\"\" \"About 
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
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\n" ); document.write( "\n" ); document.write( "Deriving parabola equation, vertex at Origin, horizontal symmetry axis
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\n" ); document.write( "Deriving parabola equation, vertex not at Origin, vertical symmetry axis\r
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\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
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\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
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\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.
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