document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193116>Question 1193116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-0.095%2Ax%5E3%29%2B%282.5%2Ax%29%2B5 ALIGN=MIDDLE  ALT=\"y=%28-0.095%2Ax%5E3%29%2B%282.5%2Ax%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > How can I modify this function to widen the graph horizontally by 2 units?  I was given a graph and I am attempting to construct an approximate formula for it.  I started out with y=x^3, then added 5 to move it up 5 units, then tried y=-1*x^3+5 to flip it around the y-axis, then I added in an x y=-x^3+x+5, then started adding some constants y=(-0.095*x^3)+(2.5*x)+5 but I need to make it a bit wider and all I seem to get are vertical transformations. Is there a way to post the original graph?  I've been using Desmos.com to experiment with different changes.  Thanks so much!  -Scott </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825159 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "It's not at all clear what you are given and what you are supposed to do....<br><BR>\n" );
document.write( "It's apparently easy to post pictures online; then you can include the link to the picture in your message to us.  I have no experience doing this -- but you can learn how by googling something like \"posting pictures online\".<br><BR>\n" );
document.write( "Re-post, including a link to picture of the graph you are given, and making it more clear what you have been trying.<br><BR>\n" );
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document.write( "The student posted a picture:<br><BR>\n" );
document.write( "https://photos.app.goo.gl/FcQe8YG4fRAXbeRt9<br><BR>\n" );
document.write( "To the student:<br><BR>\n" );
document.write( "Apparently you were given -- or reached the point where you had -- the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-0.095%2Ax%5E3%29%2B%282.5%2Ax%29%2B5 ALIGN=MIDDLE  ALT=\"y=%28-0.095%2Ax%5E3%29%2B%282.5%2Ax%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The problem with your post was that you said you wanted to know how to \"widen the graph horizontally by 2 units\".  But there is no transformation that widens a graph by a given number of units.<br><BR>\n" );
document.write( "What you meant to say (according to the solution you posted) was that you wanted to widen the graph BY A FACTOR OF 2.<br><BR>\n" );
document.write( "And as you found, the way to do that is replace \"x\" with \"(1/2)x\".<br><BR>\n" );
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