document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967923>Question 967923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation of a parabola is given.<BR>\n" );
document.write( "a. Write the equation of the parabola in standard form.<BR>\n" );
document.write( "b. Identify the vertex, focus, and directrix.<BR>\n" );
document.write( "Express numbers in exact simplest form.<BR>\n" );
document.write( " 16y^2-56y-16x+17=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591591 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=591591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation of a parabola is given.<BR>\n" );
document.write( "a. Write the equation of the parabola in standard form.<BR>\n" );
document.write( "b. Identify the vertex, focus, and directrix.<BR>\n" );
document.write( "Express numbers in exact simplest form.<BR>\n" );
document.write( "16y^2-56y-16x+17=0<BR>\n" );
document.write( "16(y^2-(56/16)y)-16x+17=0<BR>\n" );
document.write( "16(y^2-(7/2)y+49/16)-49-16x+17=0<BR>\n" );
document.write( "16(y-7/4)^2-16x-32=0<BR>\n" );
document.write( "16(y-7/4)^2-16(x+2)=0<BR>\n" );
document.write( "16(y-7/4)^2=16(x+2)<BR>\n" );
document.write( "divide both sides by 16<BR>\n" );
document.write( "(y-7/4)^2=(x+2)<BR>\n" );
document.write( "this is an equation of a parabola that opens rightward<BR>\n" );
document.write( "Its basic form: (y-k)^2=4p(x-h), (h,k)=coordinates of the vertex<BR>\n" );
document.write( "vertex: (-2, 7/4)<BR>\n" );
document.write( "axis of symmetry: y=7/4<BR>\n" );
document.write( "p=1<BR>\n" );
document.write( "focus: (-1, 7/4) (p-distance to the right of vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix: x=-3  (p-distance to the left of vertex on the axis of symmetry)<BR>\n" );
document.write( "vertex form of equation for given parabola: x=(y-7/4)^2-2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );