document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399376>Question 399376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to graph this equation. i have no idea how to graph letters. please help me. g(x)=(x-3)^-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282927 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=282927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g(x)=(x-3)^-4<BR>\n" );
document.write( "Write it<BR>\n" );
document.write( "y = (x-3)^-4<BR>\n" );
document.write( "We can get rid of the neg exponent by using the reciprocal<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28x-3%29%5E4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28x-3%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see as the value approaches x=3, the value of y will increase tremendously. <BR>\n" );
document.write( "We know y will be positive, an even numbered exponent takes care of that<BR>\n" );
document.write( "Choose values for x: <BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%281-3%29%5E4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%281-3%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-2%5E4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-2%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F16 ALIGN=MIDDLE  ALT=\"1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph points 1, 1/16<BR>\n" );
document.write( "x = 2 <BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282-3%29%5E4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%282-3%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-1%5E4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-1%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "Graph points 2, 1<BR>\n" );
document.write( "x = 2.5<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282.5-3%29%5E4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%282.5-3%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-.5%5E4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-.5%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F.0625 ALIGN=MIDDLE  ALT=\"1%2F.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 16<BR>\n" );
document.write( "Graph points 2.5, 16<BR>\n" );
document.write( "Skip x=3, division by 0, the graph will have a hole there<BR>\n" );
document.write( "x=3.5<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%283.5-3%29%5E4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%283.5-3%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28.5%5E4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28.5%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F.0625 ALIGN=MIDDLE  ALT=\"1%2F.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph points 3.5, 16 <BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%284-3%29%5E4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%284-3%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%281%5E4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%281%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1 ALIGN=MIDDLE  ALT=\"1%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "Graph points 4, 1\r<BR>\n" );
document.write( "\n" );
document.write( ":<BR>\n" );
document.write( "Looks something like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+5%2C+-10%2C+30%2C+%28x-3%29%5E-4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+5%2C+-10%2C+30%2C+%28x-3%29%5E-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );