document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118148>Question 1118148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the function y=x^2 is dilated in the x direction by a factor of 5, dilated in the y direction by a factor of 2, translated 3 to the right and translated 4 up, then type its equation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733402 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=733402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The original function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2 ALIGN=MIDDLE  ALT=\"y+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "(1) dilated in the x direction by a factor of 5: replace x with x/5:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"y+=+%28x%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) dilated in the y direction by a factor of 2: replace y with y/2:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F2+=+%28x%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"y%2F2+=+%28x%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%28x%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"y+=+2%28x%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) translated 3 to the right: replace x with x-3:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%28%28x-3%29%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"y+=+2%28%28x-3%29%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(4) translated 4 up: add 4 to y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%28%28x-3%29%2F5%29%5E2%2B4 ALIGN=MIDDLE  ALT=\"y+=+2%28%28x-3%29%2F5%29%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A graph:<br><BR>\n" );
document.write( "red: basic function<BR>\n" );
document.write( "green: dilated by a factor of 5 in the x direction (red, 1/5 as steep)<BR>\n" );
document.write( "blue: dilated by a factor of 2 in the y direction (green, 2 times as steep)<BR>\n" );
document.write( "purple: translated 3 to the right (blue, moved right 3)<BR>\n" );
document.write( "yellow: translated 4 up (purple, moved up 4)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-4%2C10%2Cx%5E2%2C%28x%2F5%29%5E2%2C2%28x%2F5%29%5E2%2C2%28%28x-3%29%2F5%29%5E2%2C2%28%28x-3%29%2F5%29%5E2%2B4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );