document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053671>Question 1053671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with a question on a parabola.\r<BR>\n" );
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document.write( "The parabola in the image has an equation of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+ax%5E2+%2B+bx+-+4+ ALIGN=MIDDLE  ALT=\"+y+=+ax%5E2+%2B+bx+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "What is the the equation of the parabola, and what method did you use to find it?\r<BR>\n" );
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document.write( "Parabola image: https://s11.postimg.org/kyn0qfe03/para.png\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668872 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=668872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph gives five points but the symmetry axis and vertex are not clear, so too difficult to read graphically.  Your given equation form has two unknown constants, a and b.  You can choose any two points from the graph, but NOT both zeros at the same time.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx-4=y ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx-4=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOTE:  I am picking points from the graph and looking for resulting useful equations to help solve for a and b:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A0%5E2%2Bb%2A0-4=-4 ALIGN=MIDDLE  ALT=\"a%2A0%5E2%2Bb%2A0-4=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that point gives us nothing.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A1%5E2%2Bb%2A1-4=0 ALIGN=MIDDLE  ALT=\"a%2A1%5E2%2Bb%2A1-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=4 ALIGN=MIDDLE  ALT=\"a%2Bb=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----may be useful\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A2%5E2%2Bb%2A2-4=2 ALIGN=MIDDLE  ALT=\"a%2A2%5E2%2Bb%2A2-4=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2B2b=6 ALIGN=MIDDLE  ALT=\"4a%2B2b=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2Bb=3 ALIGN=MIDDLE  ALT=\"2a%2Bb=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------useful and now should be enough\r<BR>\n" );
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document.write( "SOLVE THIS SYSTEM:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a%2Bb=4%2C2a%2Bb=3%29 ALIGN=MIDDLE  ALT=\"system%28a%2Bb=4%2C2a%2Bb=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3-4 ALIGN=MIDDLE  ALT=\"a=3-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-1 ALIGN=MIDDLE  ALT=\"a=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-2a ALIGN=MIDDLE  ALT=\"b=3-2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-2%28-1%29 ALIGN=MIDDLE  ALT=\"b=3-2%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5 ALIGN=MIDDLE  ALT=\"b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-x%5E2%2B5x-4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-x%5E2%2B5x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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