document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163680>Question 163680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this:\r<BR>\n" );
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document.write( "Write an equation for a function that has the shape of y=x^3. But is shifted right 4 units and up one unit.\r<BR>\n" );
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document.write( "Your website says the following when I put in my question:\r<BR>\n" );
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document.write( "\"Maximum number of questions per day is 6. This question is number 4. This limitation is so that all people get a chance to ask questions. This is a free site after all. You are supposed todo at least part of your homework.\"<BR>\n" );
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document.write( "I'm just comparing answers that I already have because sometimes the answers I received have been wrong, I'm not abusing this system, I have made donations.\r<BR>\n" );
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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 #120627 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=120627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Don't worry the website is just trying to warn you that you're almost out of questions. If you are still stuck, you can ask again tomorrow.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3 ALIGN=MIDDLE  ALT=\"y=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-4%29%5E3 ALIGN=MIDDLE  ALT=\"y=%28x-4%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > To shift the equation 4 units to the right, simply replace \"x\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4 ALIGN=MIDDLE  ALT=\"x-4\"   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=y=%28x-4%29%5E3%2B1 ALIGN=MIDDLE  ALT=\"y=%28x-4%29%5E3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > To shift the equation 1 unit up, just add 1 to the right side\r<BR>\n" );
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document.write( "So let's graph the two equations to compare:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%2C+%28x-4%29%5E3%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%2C+%28x-4%29%5E3%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3 ALIGN=MIDDLE  ALT=\"y=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-4%29%5E3%2B1 ALIGN=MIDDLE  ALT=\"y=%28x-4%29%5E3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "From the graph, we can see that the green graph is simply the red graph but has been shifted 4 units to the right and one unit up. So this verifies the answer. </SPAN>\n" );
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