document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202858>Question 1202858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, focus, and the directrix of the parabola 𝑦2 − 4𝑦 + 4𝑥 + 4 = 0<BR>\n" );
document.write( "Unsure I solved the equation.<BR>\n" );
document.write( "𝑦2 − 4𝑦 + 4𝑥 + 4 = 0<BR>\n" );
document.write( "𝑦2 − 4𝑦 + 4𝑥 + 4−4𝑥 − 4 = 0 −4𝑥 − 4<BR>\n" );
document.write( "− 𝑦2 − 4𝑦 =−4𝑥  -  4<BR>\n" );
document.write( "− 𝑦2 − 4𝑦 + 4 =−4𝑥 − 4 + 4<BR>\n" );
document.write( "(y−2)² = −4x<BR>\n" );
document.write( "(y−2)² = 4(−1)(x−0)<BR>\n" );
document.write( "Horizontal Parabola (opens left)<BR>\n" );
document.write( "(y−k)² = 4p(x−h)<BR>\n" );
document.write( "Vertex (0, 2)<BR>\n" );
document.write( "Focus (−1, 2)<BR>\n" );
document.write( "Directrix = 1<BR>\n" );
document.write( "p = −1<BR>\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 #838027 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=838027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-4y%2B4%2B4x=0 ALIGN=MIDDLE  ALT=\"y%5E2-4y%2B4%2B4x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%29%5E2%2B4x=0 ALIGN=MIDDLE  ALT=\"%28y-2%29%5E2%2B4x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=-%28y-2%29%5E2 ALIGN=MIDDLE  ALT=\"4x=-%28y-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "compare to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4px=-%28y-2%29%5E2 ALIGN=MIDDLE  ALT=\"4px=-%28y-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p=1, distance of vertex to directrix\r<BR>\n" );
document.write( "\n" );
document.write( "Vertex (0, 2)<BR>\n" );
document.write( "Directrix at x=1.<BR>\n" );
document.write( "Focus at  (-1, 2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );