document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102482>Question 102482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the parabola with vertex (-2,5) and that passes through (4,-8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74495 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=74495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the parabola with vertex (-2,5) and that passes through (4,-8)<BR>\n" );
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document.write( "Vertex form of a parabola:<BR>\n" );
document.write( "(4p)(y-k) = (x-h)^2<BR>\n" );
document.write( "Substitute to find \"4p\"<BR>\n" );
document.write( "4p(-8-5) = (4+2)^2<BR>\n" );
document.write( "4p(-13) = 36<BR>\n" );
document.write( "4p = -36/13<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "(-36/13)(y-5)=(x+2)^2<BR>\n" );
document.write( "Multiply both sides by 13 to get:<BR>\n" );
document.write( "-36(y-5) = 13[x^2+4x+4]<BR>\n" );
document.write( "-36y + 180 = 13x^2+52x+52<BR>\n" );
document.write( "-36y = 13x^2+52x-128<BR>\n" );
document.write( "y = -13/36)x^2-(13/9)x+(13/9)\r<BR>\n" );
document.write( "\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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