document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338132>Question 338132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find parametric equations for the rectangular equation: (x+2)^2 = 4(y-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243113 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving this for y yields <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2F4%2Bx%2B2 ALIGN=MIDDLE  ALT=\"y=x%5E2%2F4%2Bx%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "This parabola has axis parallel to the y axis and has vertex at (-2,1)\r<BR>\n" );
document.write( "\n" );
document.write( "p=1 and the focus is at (-2,2) and the directrix at (-2,0). The directrix is the x-axis.\r<BR>\n" );
document.write( "\n" );
document.write( "Parametrically, it can be represented by \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28t%29=2t-1 ALIGN=MIDDLE  ALT=\"x%28t%29=2t-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28t%29=t%5E2%2Bt%2B5%2F4 ALIGN=MIDDLE  ALT=\"y%28t%29=t%5E2%2Bt%2B5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "See, if we solve x for t, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%2F2 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Sub into y and get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B1%29%2F2%29%5E2%2B%28%28x%2B1%29%2F2%29%2B5%2F4=x%5E2%2F4%2Bx%2B2 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29%2F2%29%5E2%2B%28%28x%2B1%29%2F2%29%2B5%2F4=x%5E2%2F4%2Bx%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );