document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1829>Question 1829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the equation of the parabola passing through the points (3,1), (2,3), and (0,-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have to substitute in the x,y values you know into the general equation of a quadratic (parabola), which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"y+=+ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then solve the 3 equation to find the 3 unknowns, a,b,c. Tedious but not difficult...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+=+9a+%2B+3b+%2B+c ALIGN=MIDDLE  ALT=\"+1+=+9a+%2B+3b+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+4a+%2B+2b+%2B+c ALIGN=MIDDLE  ALT=\"+3+=+4a+%2B+2b+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5+=+c ALIGN=MIDDLE  ALT=\"-5+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the third equation helps enormously...we know c!. Put this into the first 2 equations and find a and b.\r<BR>\n" );
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document.write( "You can do that :-). Don't forget to write out the equation, once you know the values of a, b and c!.\r<BR>\n" );
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document.write( "cheers<BR>\n" );
document.write( "jon </SPAN>\n" );
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