document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208275>Question 208275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having difficulty with a math question.  The question is as follows:\r<BR>\n" );
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document.write( "Draw the graph of y = -2[x+1] - 4.  Do not do this by plotting points.  Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation.\r<BR>\n" );
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document.write( "My question - are there specific graphs I need to follow or can I use any equation to apply the transformation?\r<BR>\n" );
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document.write( "We had another sample question using the following 5 equations. Can I use these same equations for my question above by plugging in the above equation to make a final equation to graph?\r<BR>\n" );
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document.write( "1)  y = x^2<BR>\n" );
document.write( "2)  y = (x+1)^2<BR>\n" );
document.write( "3)  y = 3(x+1)^2<BR>\n" );
document.write( "4)  y = -3(x+1)^2<BR>\n" );
document.write( "5)  y = -3(x+1)2 +4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157556 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=157556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw the graph of y = -2[x+1] - 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation. <BR>\n" );
document.write( "My question - are there specific graphs I need to follow or can I use any equation to apply the transformation? <BR>\n" );
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document.write( "Start with y = x<BR>\n" );
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document.write( "Transform to y = x+1 which moves y = x one unit to the left.<BR>\n" );
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document.write( "Transform that to y = -2(x+1) which reflects the previous in the x axis<BR>\n" );
document.write( "and increases the negative slope.<BR>\n" );
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document.write( "Transform that to y = -2(x+1)-4 which lowers the previous by 4 units.<BR>\n" );
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document.write( "Final Result:<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-2%28x%2B1%29-4%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2%28x%2B1%29-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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