document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74682>Question 74682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sketch a graph of the following (find and include focal points, verticies, asymptotes, directrix, as appropriate). Estimate any irrational values on the graph.\r<BR>\n" );
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document.write( "1. y = 2x^2 - 10x + 27\r<BR>\n" );
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document.write( "first i tried to get all of the x and y's to one side, then complete the square, but i didn't know how because y in this problem is not squared...but i tried it anyway and got...  27/4 (y-27)= x^2 - 5x + 25/4   ...i'm not sure where to go from here>??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53656 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 2x^2 - 10x + 27 <BR>\n" );
document.write( "This is the equation of a parabola opening up.<BR>\n" );
document.write( "2(x^2-5x+(5/2)^2) = y - 27 + 2*(25/4)<BR>\n" );
document.write( "2(x-(5/2))^2 = y-58/4<BR>\n" );
document.write( "2(x-(5/2))^2 = y-29/2<BR>\n" );
document.write( "(x-(5/2))^2 = (1/2)(y-29/2)<BR>\n" );
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document.write( "4p=1/2 ; p=1/8<BR>\n" );
document.write( "Vertex at (5/2,29/2)<BR>\n" );
document.write( "Focus at (5/2, 29/2 + 1/8) = (5/2, 117/8)<BR>\n" );
document.write( "Directrix: y=29/2 - 1/8 ; y=115/8<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C30%2C2x%5E2-10x%2B27%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C30%2C2x%5E2-10x%2B27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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