document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093826>Question 1093826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the points on the parabola y= x^2 closest to the point (0,1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708457 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=708457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the points on the parabola y= x^2 closest to the point (0,1).<BR>\n" );
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document.write( "the parabola is symmetrical about the y-axis and the point is on the y-axis.<BR>\n" );
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document.write( "Label the point in Q1 on the parabola (h,k)<BR>\n" );
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document.write( "d^2 = h^2 + (k-1)2<BR>\n" );
document.write( "k = h^2<BR>\n" );
document.write( "--> d^2 = k + k^2 - 2k + 1<BR>\n" );
document.write( "d^2 = k^2 - k + 1<BR>\n" );
document.write( "dk/dx = 2k - 1 = 0<BR>\n" );
document.write( "k = 1/2<BR>\n" );
document.write( "h = sqrt(2)/2<BR>\n" );
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document.write( "--> (sqrt(2)/2, 1/2)<BR>\n" );
document.write( "& (-sqrt(2)/2, 1/2)<BR>\n" );
document.write( " </SPAN>\n" );
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