document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979355>Question 979355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the focus of the parabola that has the vertex (-3,2), opens horizontally, and passes through the point, (-10,1).\r<BR>\n" );
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document.write( "I can get to 4p= -1/7 but get stuck there trying to get the focus. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600647 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the following formula for a horizontal parabola<BR>\n" );
document.write( "4p(x-h) = (y-k)^2<BR>\n" );
document.write( "the vertex is (-3,2) and parabola passes thru point (-10,1), therefore<BR>\n" );
document.write( "4p(-10+3) = (1-2)^2<BR>\n" );
document.write( "-28p = 1<BR>\n" );
document.write( "p = -1/28 = -0.035714286 approx -0.04<BR>\n" );
document.write( "p is the distance from the vertex to the focus, therefore<BR>\n" );
document.write( "focus = (-3.04, 2)\r<BR>\n" );
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