document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999156>Question 999156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a parabola contains the ponts (0,1)(4,5) and (8,7) graph these points and estimate the coordinates of the vertex.find an equation for the parsbola by setting up and solving system of equations </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617240 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the graph.<BR>\n" );
document.write( "Any guess is a good one as long as the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bv%5D%3E8 ALIGN=MIDDLE  ALT=\"x%5Bv%5D%3E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bv%5D%3E7 ALIGN=MIDDLE  ALT=\"y%5Bv%5D%3E7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "Using the model,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   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=1=a%280%29%5E2%2Bb%280%29%2Bc ALIGN=MIDDLE  ALT=\"1=a%280%29%5E2%2Bb%280%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1 ALIGN=MIDDLE  ALT=\"c=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=5=a%284%29%5E2%2Bb%284%29%2B1 ALIGN=MIDDLE  ALT=\"5=a%284%29%5E2%2Bb%284%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16a%2B4b=4 ALIGN=MIDDLE  ALT=\"16a%2B4b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2Bb=1 ALIGN=MIDDLE  ALT=\"4a%2Bb=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=7=a%288%29%5E2%2Bb%288%29%2B1 ALIGN=MIDDLE  ALT=\"7=a%288%29%5E2%2Bb%288%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64a%2B8b=6 ALIGN=MIDDLE  ALT=\"64a%2B8b=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32a%2B4b=3 ALIGN=MIDDLE  ALT=\"32a%2B4b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2Bb=1 ALIGN=MIDDLE  ALT=\"4a%2Bb=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16a%2B4b=4 ALIGN=MIDDLE  ALT=\"16a%2B4b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting from eq. 3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32a%2B4b-%2816a%2B4b%29=3-4 ALIGN=MIDDLE  ALT=\"32a%2B4b-%2816a%2B4b%29=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=16a=-1 ALIGN=MIDDLE  ALT=\"16a=-1\"   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%2F16 ALIGN=MIDDLE  ALT=\"a=-1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%28-1%2F16%29%2B4b=4 ALIGN=MIDDLE  ALT=\"16%28-1%2F16%29%2B4b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B4b=4 ALIGN=MIDDLE  ALT=\"-1%2B4b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b=5 ALIGN=MIDDLE  ALT=\"4b=5\"   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%2F4 ALIGN=MIDDLE  ALT=\"b=5%2F4\"   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=y=-x%5E2%2F16%2B%285%2F4%29x%2B1 ALIGN=MIDDLE  ALT=\"y=-x%5E2%2F16%2B%285%2F4%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F16%29%28x%5E2-20x%29%2B1 ALIGN=MIDDLE  ALT=\"y=-%281%2F16%29%28x%5E2-20x%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F16%29%28x%5E2-20x%2B100%29%2B1%2B%281%2F16%29%28100%29 ALIGN=MIDDLE  ALT=\"y=-%281%2F16%29%28x%5E2-20x%2B100%29%2B1%2B%281%2F16%29%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F16%29%28x-10%29%5E2%2B4%2F4%2B25%2F4 ALIGN=MIDDLE  ALT=\"y=-%281%2F16%29%28x-10%29%5E2%2B4%2F4%2B25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F16%29%28x-10%29%5E2%2B29%2F4 ALIGN=MIDDLE  ALT=\"y=-%281%2F16%29%28x-10%29%5E2%2B29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertex is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29%2F4 ALIGN=MIDDLE  ALT=\"29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=v7.JPG\">.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );