document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277841>Question 277841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the basic function of:<BR>\n" );
document.write( "t(x)= -(-1-x)^2<BR>\n" );
document.write( "What would this graph look like? Has it been shifted, reflected, stretched or compressed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202230 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=202230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How do I find the basic function of:<BR>\n" );
document.write( "t(x)= -(-1-x)^2<BR>\n" );
document.write( "What would this graph look like? Has it been shifted, reflected, stretched or compressed?<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The basic function is y = x^2<BR>\n" );
document.write( "You could simplify t(x) as follows:<BR>\n" );
document.write( "t(x) = -(-(x+1))^2<BR>\n" );
document.write( "t(x) = -(x+1)^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Now you can see the x+1 shifts y= x^2 one unit to the left.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The negative sign reflects y=(x+1)^2 in the x-axis.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "You end up with an upside-down parabola that was shifted one unit to the left:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-%28-1-x%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-%28-1-x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );