document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=555513>Question 555513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find a Parabola (these are some i cannot get right): <BR>\n" );
document.write( "1. y=x^2-8x+13<BR>\n" );
document.write( " 2.y+2x^2+32=-16x-1<BR>\n" );
document.write( "and 3. 2x-y^2=4y+10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361836 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=361836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How to find a Parabola (these are some i cannot get right):<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1. y=x^2-8x+13<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=(x^2-8x+16)+13-16<BR>\n" );
document.write( "y=(x-4)^-3<BR>\n" );
document.write( "This is an equation of a parabola which opens upwards and has a vertex at (4,-3)<BR>\n" );
document.write( "Standard form of  equation: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "A is a multiplier which affects the slope or steepness of the curve.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2.y+2x^2+32=-16x-1<BR>\n" );
document.write( "y=-2x^2-16x-33<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=-2(x^2+8x+16)-33+32<BR>\n" );
document.write( "y=-2(x+4)^2-1<BR>\n" );
document.write( "This is an equation of a parabola which opens downwards and has a vertex at (-4,1)<BR>\n" );
document.write( "Standard form of  equation: y=-A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3. 2x-y^2=4y+10<BR>\n" );
document.write( "2x=y^2+4y+10<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "x=(1/2)y^2+2y+5<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "x=(1/2)(y^2+4y+4)+5-2<BR>\n" );
document.write( "x=(1/2)(y+2)^2+3<BR>\n" );
document.write( "This is an equation of a parabola which opens rightwards and has a vertex at (3,-2)<BR>\n" );
document.write( "Standard form of  equation: x=A(y-k)^2+h, (h,k) being the (x,y) coordinates of the vertex. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );