document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630464>Question 630464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X = - 1/4 y2 + y + 2\r<BR>\n" );
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document.write( "a. Put this equation in standard form for a parabola.<BR>\n" );
document.write( "b. What direction does it open in?<BR>\n" );
document.write( "c. What is the coordinate of the vertex?<BR>\n" );
document.write( "d. Sketch the graph of the parabola.<BR>\n" );
document.write( "e. Find one point on your graph, and test it on the original equation.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396936 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=396936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X = - 1/4 y2 + y + 2 \r<BR>\n" );
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document.write( "a. Put this equation in standard form for a parabola.<BR>\n" );
document.write( "x=-1/4 y2+y+2<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "x=-1/4(y2-4y+4)+2+1<BR>\n" );
document.write( "x=-1/4(y-2)^2+3<BR>\n" );
document.write( "This is an equation of a parabola that opens leftwards.<BR>\n" );
document.write( "Its standard form: y=-A(y-k)^2+h, (h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "b. What direction does it open in? Left<BR>\n" );
document.write( "c. What is the coordinate of the vertex? (3,2)<BR>\n" );
document.write( "d. Sketch the graph of the parabola. Sorry, I don't have the means to graph it for you, but you should be able to graph it yourself using coordinates of the vertex and the y-intercepts found as follows: <BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "0=-1/4(y-2)^2+3<BR>\n" );
document.write( "-1/4(y-2)^2=-3<BR>\n" );
document.write( "(y-2)^2=12<BR>\n" );
document.write( "y-2=±&#8730;12=±3.4641<BR>\n" );
document.write( "y=2±3.4641<BR>\n" );
document.write( "y=-1.4641<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y=5.4641<BR>\n" );
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document.write( "e. Find one point on your graph, and test it on the original equation.<BR>\n" );
document.write( "I will leave this one for you to do.<BR>\n" );
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