document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975225>Question 975225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the equation  x2 – 2x + 1 = 8y – 16.                                                                                     \r<BR>\n" );
document.write( "\n" );
document.write( "             a)  Write the equation of the parabola in standard form.<BR>\n" );
document.write( "             b)  State the coordinates of the vertex.<BR>\n" );
document.write( "             c)  State the coordinates of the focus.<BR>\n" );
document.write( "             d)  State the equation of the directrix.\r<BR>\n" );
document.write( "\n" );
document.write( "                                                                                                                           <BR>\n" );
document.write( "                                                                                                                                                                               \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "                                                                                                                            <BR>\n" );
document.write( "                                                                                                                                                                               e)  Sketch the graph.                                                                                                                 <BR>\n" );
document.write( "                                                                                                                                                                               <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 #597039 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=597039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the equation x2 – 2x + 1 = 8y – 16. <BR>\n" );
document.write( "a) Write the equation of the parabola in standard form.<BR>\n" );
document.write( "b) State the coordinates of the vertex.<BR>\n" );
document.write( "c) State the coordinates of the focus.<BR>\n" );
document.write( "d) State the equation of the directrix. <BR>\n" );
document.write( "***<BR>\n" );
document.write( " x^2 – 2x + 1 = 8y – 16.<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "(x^2-2x+1)=8y-16-1+1<BR>\n" );
document.write( "(x-1)^2=8y-16<BR>\n" );
document.write( "(x-1)^2=8(y-2)<BR>\n" );
document.write( "This is an equation of a parabola that opens upward.<BR>\n" );
document.write( "Its basic form of equation: (x-h)^2=4p(y-k), (h,k)=coordinates of the vertex<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "vertex: (1, 2)<BR>\n" );
document.write( "axis of symmetry: x=-1<BR>\n" );
document.write( "4p=8<BR>\n" );
document.write( "p=2<BR>\n" );
document.write( "focus: (1, 4) (p-units above vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix: y=0 (p-units below vertex on the axis of symmetry)<BR>\n" );
document.write( "y=(x^2-2x+17)/8<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C%28x%5E2-2x%2B17%29%2F8%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C%28x%5E2-2x%2B17%29%2F8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );