document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43019>Question 43019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the inverse graph of Y = Xsquared - 2? What is the inverse of y = Xsquared + X? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28043 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=28043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the inverse graph of Y = Xsquared - 2?<BR>\n" );
document.write( "y=x^2-2<BR>\n" );
document.write( "Interchange x and y to get:<BR>\n" );
document.write( "x=y^2-2<BR>\n" );
document.write( "Solve for \"y\" as follows:<BR>\n" );
document.write( "y^2=x+2<BR>\n" );
document.write( "y=+sqrt(x+2) and y=-sqrt(x+2) \r<BR>\n" );
document.write( "\n" );
document.write( "What is the inverse of y = Xsquared + X?<BR>\n" );
document.write( "y=x^2+x<BR>\n" );
document.write( "Interchange x and y to get:<BR>\n" );
document.write( "x=y^2+y<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "y^2+y-x=0<BR>\n" );
document.write( "Use the quadratic formula to get:<BR>\n" );
document.write( "y=[-1+sqrt(1^2+4x)]/2 and <BR>\n" );
document.write( "y=[-1-sqrt(1+4x)]/2\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );