document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84554>Question 84554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I write an equation in standard form of a parabola with a line of symmetry x=2 and containing (2,3)(4,-5)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60949 by </B><A HREF=/tutors/aboutme.mpl?userid=vertciel><B>vertciel(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vertciel><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=60949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello there,\r<BR>\n" );
document.write( "\n" );
document.write( "There are three forms of the equation of a parabola. We will use the form y = a(x - k)^2 + k.\r<BR>\n" );
document.write( "\n" );
document.write( "The line of symmetry for a parabola is where its x coordinate for the axis is located. The above form of the parabola requires the vertex and the general wideness of the parabola (a). \r<BR>\n" );
document.write( "\n" );
document.write( "Since (2,3) is given, we know that the vertex of the parabola is at (2,3).\r<BR>\n" );
document.write( "\n" );
document.write( "Our parabola thus:\r<BR>\n" );
document.write( "\n" );
document.write( "y = a(x - 2)^2 + 3\r<BR>\n" );
document.write( "\n" );
document.write( "Now we need to find a.\r<BR>\n" );
document.write( "\n" );
document.write( "You can either substitute (4, -5) as x and y into that equation, or use the formula a = rise/run^2.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );