document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181254>Question 1181254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given points A(0, 1), B(2, 5) and point P moving along the parabola y = x^2 + 4x + 7 …eq. 1, find the minimum value of area S of triangle PAB </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811119 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "This problem is advanced, which means that it is above the average high school level.\r<BR>\n" );
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document.write( "So, I will assume that my visitor has an adequate level in Math (otherwise, there is no sense in discussing).\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The idea is that the base of the triangle is just given: <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;it is the segment AB, whose length you can easily calculate.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, our task is to find the point P on the parabola, <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;which provides minimum height (i.e. altitude) of the triangle.\r<BR>\n" );
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document.write( "It is the same as to say that our task is to find the point P on the parabola, CLOSEST to the line through the points A and B.\r<BR>\n" );
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document.write( "I solved a TWIN problem TODAY under this link\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1181253.html\r<BR>\n" );
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document.write( "Having this solution as a TEMPLATE, complete the solution to this problem to the end on your own.\r<BR>\n" );
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document.write( "Oops, it looks like Edwin just made everything I described in my post.\r<BR>\n" );
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