document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=811916>Question 811916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation (s) of the parabola (s) with horizontal or vertical axis, vertex (2,-3) and containing (6,-1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489203 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=489203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation (s) of the parabola (s) with horizontal or vertical axis, vertex (2,-3) and containing (6,-1).<BR>\n" );
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document.write( "Vertex form of equation for:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Vertical axis of symmetry: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "Solving for A:<BR>\n" );
document.write( "-1=A(6-2)^2-3<BR>\n" );
document.write( "-1=16A-3<BR>\n" );
document.write( "16A=2<BR>\n" );
document.write( "A=2/16=1/8<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y=(1/8)(x-2)^2-3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Horizontal axis of symmetry: x=A(y-k)^2+h, (h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "Solving for A:<BR>\n" );
document.write( "6=A(-1-(-3))^2+2<BR>\n" );
document.write( "6=A(-1+3))^2+2<BR>\n" );
document.write( "6=4A+2<BR>\n" );
document.write( "4A=4<BR>\n" );
document.write( "A=1<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x=(y+3)^2+2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );