document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144037>Question 144037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello i am in 10th grade right now <BR>\n" );
document.write( "and we are learing about conics<BR>\n" );
document.write( "there are few problems that i do not understand <BR>\n" );
document.write( "and i would really appreciate it if you could send me e-mail as soon as possible<BR>\n" );
document.write( "i have a quiz this week <BR>\n" );
document.write( "thank you so much!! i really appreciate it <BR>\n" );
document.write( "here's the problem <BR>\n" );
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document.write( "focus at (-3,4); directrix the line y=2 \r<BR>\n" );
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document.write( "given this information, how do you find: <BR>\n" );
document.write( "vertex (h,k) = <BR>\n" );
document.write( "a (distance between focus and vertex) = <BR>\n" );
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document.write( "i know that the parabola is going to open up and the formula for the <BR>\n" );
document.write( "directrix line is y= k-a <BR>\n" );
document.write( "              and y= 2 , so that means k-a=2, but i do not know the vertex<BR>\n" );
document.write( "and the value of a... \r<BR>\n" );
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document.write( "thank you for your HELP!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104833 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=104833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> focus at (-3,4); directrix the line y=2 <BR>\n" );
document.write( "given this information, how do you find: <BR>\n" );
document.write( "vertex (h,k) = <BR>\n" );
document.write( "a (distance between focus and vertex) = <BR>\n" );
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document.write( "i know that the parabola is going to open up and the formula for the <BR>\n" );
document.write( "directrix line is y= k-a <BR>\n" );
document.write( "and y= 2 , so that means k-a=2, but i do not know the vertex<BR>\n" );
document.write( "and the value of a... <BR>\n" );
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document.write( "When you work with conics it is always good to draw the picture<BR>\n" );
document.write( "using the information you are given so you can visualize the <BR>\n" );
document.write( "missing information.<BR>\n" );
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document.write( "You have the focus at (-3,4) and the directrix at y =2<BR>\n" );
document.write( "The vertex is always half-way between the focus and the directrix.<BR>\n" );
document.write( "The y-difference between the point and the directrix is 4-2 = 2<BR>\n" );
document.write( "Half that distance is 1<BR>\n" );
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document.write( "So the vertex is at (-3,3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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