document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914453>Question 914453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello there, would you help me with this problem?\r<BR>\n" );
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document.write( "Write an equation in standard form of the parabola that has vertex (-7, -6) and passes through the point (4, 236).\r<BR>\n" );
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document.write( "Using the average rate of change equation, I got the slope of 22 but am unsure of how to find the rest of the equation.  <BR>\n" );
document.write( "Thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555127 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=555127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Slope is unimportant to the description and question.\r<BR>\n" );
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document.write( "Standard Form for the equation of a parabola follows <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=a%28x-h%29%5E2%2Bk%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=a%28x-h%29%5E2%2Bk%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "The vertex is (h,k).\r<BR>\n" );
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document.write( "The description gives (h,k), so these are easily substituted into the basic equation form.  The other given point allows solving for the factor, \"a\".  You can do this symbolically and then substitute according to the two given points to evaluate \"a\".  Using \"a\", h, and k, just fill-in the standard equation for the parabola.\r<BR>\n" );
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document.write( "A couple of useful steps:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-k=a%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"y-k=a%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%2F%28x-h%29%5E2=a ALIGN=MIDDLE  ALT=\"%28y-k%29%2F%28x-h%29%5E2=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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