document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002372>Question 1002372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the parabola described below in VERTEX FORM.\r<BR>\n" );
document.write( "\n" );
document.write( "vertex at open parentheses negative 3 comma space 2 close parentheses and passes through open parentheses negative 5 comma space negative 8 close parentheses </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619309 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> vertex form is y=a(x-h)^2 + k, where h and k are the vertex coordinates.<BR>\n" );
document.write( "So, we have y=a(x+3^2) +2.  Note that the sign of x changed.<BR>\n" );
document.write( "Now we need a point to solve for a.<BR>\n" );
document.write( "-8=a(-5+3)^2 + 2<BR>\n" );
document.write( "-8=4a+2<BR>\n" );
document.write( "4a=-10<BR>\n" );
document.write( "a=-2.5<BR>\n" );
document.write( "y= -2.5(x+3)^2+2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2.5%28x%2B3%29%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2.5%28x%2B3%29%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );