document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927264>Question 927264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me: find the vertex, value of p, axis of symmetry, focus, and Directrix of each parabola?<BR>\n" );
document.write( "1. y=1/8(x-1)^2<BR>\n" );
document.write( "2. x=2y^2 +1<BR>\n" );
document.write( "3. x-2=1/2(y+1)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562853 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=562853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the vertex form of a Parabola opening up(a>0) or down(a<0), <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2+%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2+%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "where(h,k) is the vertex  and  x = h  is the Line of Symmetry , <BR>\n" );
document.write( "the focus is (h,k + p), With Directrix y = (k - p), a = 1/(4p)<BR>\n" );
document.write( "............\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "y=1/8(x-1)^2 Parabola Opening Upward a = 1/8 > 0<BR>\n" );
document.write( "vertex,  (1,0)<BR>\n" );
document.write( "value of p, a = 1/8 = 1/(4p), p = 2<BR>\n" );
document.write( "axis of symmetry, x = 1<BR>\n" );
document.write( "focus (1, 2)<BR>\n" );
document.write( "Directrix: y = -2 <BR>\n" );
document.write( "...........<BR>\n" );
document.write( "the vertex form of a Parabola opening right(a>0) or left(a<0), <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%28y-k%29%5E2+%2Bh ALIGN=MIDDLE  ALT=\"x=a%28y-k%29%5E2+%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " where(h,k) is the vertex and  y = k  is the Line of Symmetry,<BR>\n" );
document.write( "the focus is (h +p,k ), With Directrix x = (h - p) , a = 1/(4p)<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "2. x=2y^2 +1<BR>\n" );
document.write( "vertex,  (1,0)<BR>\n" );
document.write( "value of p, a = 2 = 1/(4p), p = 1/8<BR>\n" );
document.write( "axis of symmetry, y = 0<BR>\n" );
document.write( "focus (9/8, 0)<BR>\n" );
document.write( "Directrix: x = 7/8<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "3. x=1/2(y+1)^2 + 2<BR>\n" );
document.write( "vertex,  (2,-1)<BR>\n" );
document.write( "value of p, a = 1/2 = 1/(4p), p = 1/2<BR>\n" );
document.write( "axis of symmetry, y = -1<BR>\n" );
document.write( "focus (2.5, -1)<BR>\n" );
document.write( "Directrix: x = 1.5\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );