document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917221>Question 917221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I figure out the graph for: f(x) = 3(2^x)-6\r<BR>\n" );
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document.write( "I know that x=-6 is the horizontal asymptote\r<BR>\n" );
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document.write( "when I go to make a t-table my points are all over the place and not consistent.\r<BR>\n" );
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document.write( "like plugging in x=1 results in 0. x=2 results in 6...\r<BR>\n" );
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document.write( "What is the proper way to figure out this graph?<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556586 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=556586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The factor 3, just stretches the graph vertically.  The minus 6 moves the graph downward by 6 units.  \r<BR>\n" );
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document.write( "Work with easy values to help get good points to sketch the graph.\r<BR>\n" );
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document.write( "x____________f(x)<BR>\n" );
document.write( "-2_________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282%5E%28-2%29%29-6=3%2F4-6=-5%261%2F4 ALIGN=MIDDLE  ALT=\"3%282%5E%28-2%29%29-6=3%2F4-6=-5%261%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-1_________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282%5E%28-1%29%29-6=3%2F2-6=-4%261%2F2 ALIGN=MIDDLE  ALT=\"3%282%5E%28-1%29%29-6=3%2F2-6=-4%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "0__________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282%5E0%29-6=3 ALIGN=MIDDLE  ALT=\"3%282%5E0%29-6=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1__________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2-6=0 ALIGN=MIDDLE  ALT=\"3%2A2-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2__________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2%5E2-6=6 ALIGN=MIDDLE  ALT=\"3%2A2%5E2-6=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3%2A2%5Ex-6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3%2A2%5Ex-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For comparison this is 2^x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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