document.write( "Question 1030334: I've been trying to solve and understand these problems for the past 2 hours, and it's killing me. I still don't understand it. Can you please show the work when solving, in hopes that I can see, and understand.\r
\n" ); document.write( "\n" ); document.write( "4y^2-16x+8y-12=0\r
\n" ); document.write( "\n" ); document.write( "I need to rewrite in standard form, as well as find the vertex,focus, and directrix.
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Algebra.Com's Answer #645213 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
4y^2 -16x +8y -12 = 0
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\n" ); document.write( "Rewrite grouping like terms
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\n" ); document.write( "4y^2 +8y -16x -12 = 0
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\n" ); document.write( "Divide both sides of = by 4
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\n" ); document.write( "y^2 +2y -4x -3 = 0
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\n" ); document.write( "This is a parabola that opens to the right
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\n" ); document.write( "y^2 +2y = 4x +3
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\n" ); document.write( "Complete the square
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\n" ); document.write( "y^2 +2y +1 = 4x +4
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\n" ); document.write( "standard form is
\n" ); document.write( "(y+1)^2 = 4(x+1)
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\n" ); document.write( "Vertex is (-1, -1)
\n" ); document.write( "Focus is (0, -1)
\n" ); document.write( "Directrix is (x = -2)
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\n" ); document.write( "Formulas - parabola opening right
\n" ); document.write( "(y-h)^2 = 4p(x-k)
\n" ); document.write( "Vertex = (h, k)
\n" ); document.write( "Focus = (h+p, k)
\n" ); document.write( "Directrix = (x = h - p)
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