document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968946>Question 968946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the parabola with the given conditions:<BR>\n" );
document.write( "> Horizontal axis, vertex on y-axis and passing through (2,4) and (8,-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592007 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</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=592007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%28y-k%29%5E2 ALIGN=MIDDLE  ALT=\"x=a%28y-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because you are not sure where along the y-axis is the intercept.\r<BR>\n" );
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document.write( "Your two given points will allow to find a and k.\r<BR>\n" );
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document.write( "The expected format equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%28y-k%29%5E2 ALIGN=MIDDLE  ALT=\"x=a%28y-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the two points to be on the graph:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282=a%284-k%29%5E2%2C8=a%28-2-k%29%5E2%29 ALIGN=MIDDLE  ALT=\"system%282=a%284-k%29%5E2%2C8=a%28-2-k%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so this system is solvable for a and k.<BR>\n" );
document.write( "Use any whatever good algebra skills you have.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282%2F%284-k%29%5E2=a%2C8%2F%28-2-k%29%5E2=a%29 ALIGN=MIDDLE  ALT=\"system%282%2F%284-k%29%5E2=a%2C8%2F%28-2-k%29%5E2=a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%284-k%29%5E2=8%2F%28-2-k%29%5E2 ALIGN=MIDDLE  ALT=\"2%2F%284-k%29%5E2=8%2F%28-2-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "their reciprocals are therefore also equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-k%29%5E2%2F2=%28-2-k%29%5E2%2F8 ALIGN=MIDDLE  ALT=\"%284-k%29%5E2%2F2=%28-2-k%29%5E2%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%284-k%29%5E2=2%28-2-k%29%5E2 ALIGN=MIDDLE  ALT=\"8%284-k%29%5E2=2%28-2-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284-k%29%5E2=%28-1%29%5E2%282%2Bk%29%5E2 ALIGN=MIDDLE  ALT=\"4%284-k%29%5E2=%28-1%29%5E2%282%2Bk%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284-k%29%5E2=%282%2Bk%29%5E2 ALIGN=MIDDLE  ALT=\"4%284-k%29%5E2=%282%2Bk%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2816-8k%2Bk%5E2%29=4%2B4k%2Bk%5E2 ALIGN=MIDDLE  ALT=\"4%2816-8k%2Bk%5E2%29=4%2B4k%2Bk%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64-32k%2B4k%5E2=4%2B4k%2Bk%5E2 ALIGN=MIDDLE  ALT=\"64-32k%2B4k%5E2=4%2B4k%2Bk%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3k%5E2-36k%2B60=0 ALIGN=MIDDLE  ALT=\"3k%5E2-36k%2B60=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2-12k%2B20=0 ALIGN=MIDDLE  ALT=\"k%5E2-12k%2B20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-2%29%28k-10%29=0 ALIGN=MIDDLE  ALT=\"%28k-2%29%28k-10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The possibility of two different values for k, and each of them will have a corresponding value for a.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=2%29 ALIGN=MIDDLE  ALT=\"highlight%28k=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=10%29 ALIGN=MIDDLE  ALT=\"highlight%28k=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You continue on to find values of \"a\". </SPAN>\n" );
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