document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731342>Question 731342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the y-k=a(x-h)^2 equation for the parabola with vertex = (-2,6) and y-intercept = -2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447103 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=447103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each of those points gives you a specific equation, so you could have two of them.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-h%29%5E2%2Bk=y ALIGN=MIDDLE  ALT=\"a%28x-h%29%5E2%2Bk=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be our best form to start with (my convenience only).\r<BR>\n" );
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document.write( "Point (-2, 6):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28-2-h%29%5E2%2Bk=6 ALIGN=MIDDLE  ALT=\"a%28-2-h%29%5E2%2Bk=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and since the point is also the vertex,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28-2%2B2%29%5E2%2Bk=6 ALIGN=MIDDLE  ALT=\"a%28-2%2B2%29%5E2%2Bk=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A0%2Bk=6 ALIGN=MIDDLE  ALT=\"a%2A0%2Bk=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2Bk=6 ALIGN=MIDDLE  ALT=\"0%2Bk=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=6 ALIGN=MIDDLE  ALT=\"k=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That point being vertex lets us find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2B2%29%5E2%2B6=y ALIGN=MIDDLE  ALT=\"a%28x%2B2%29%5E2%2B6=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so now we only have one unknown variable in the equation other than the general (x, y) variables.\r<BR>\n" );
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document.write( "The other given point is (0, -2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%280%2B2%29%5E2%2B6=-2 ALIGN=MIDDLE  ALT=\"a%280%2B2%29%5E2%2B6=-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%2B6=-2 ALIGN=MIDDLE  ALT=\"4a%2B6=-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=-2-6 ALIGN=MIDDLE  ALT=\"4a=-2-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a=-8 ALIGN=MIDDLE  ALT=\"4a=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-2 ALIGN=MIDDLE  ALT=\"a=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equation for the parabola is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-6=-2%28x%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28y-6=-2%28x%2B2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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