document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248853>Question 248853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the parabola that has the same shape as y = x2 but that has a vertex of (-3, -2) \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181326 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=181326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The standard vertex form for a parabola is y = a*(x-h)^2 + k where (h,k) is the vertex and \"a\" determines the shape. \r<BR>\n" );
document.write( "\n" );
document.write( "The first parabola can be rewritten as y = 1*(x-0)^2 + 0 in standard vertex form (i.e. a = 1, h=0, and k = 0).<BR>\n" );
document.write( "Keeping the shape the same but moving the parabola's vertex to (-3,-2) means changing h to -3 and k to -2 and leaving a=1.\r<BR>\n" );
document.write( "\n" );
document.write( "So we have:\r<BR>\n" );
document.write( "\n" );
document.write( "y = (x+3)^2 - 2 for the equation of the new parabiola.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );