document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91449>Question 91449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> still don't understand how to do these two problems<BR>\n" );
document.write( "HELP <BR>\n" );
document.write( "y = 4x - 2  shift down 3 and right 2 ????????????????????<BR>\n" );
document.write( "y = -1/2x^2-2   shift left 4 and widen by 2<BR>\n" );
document.write( "need to grpah first equation and new one<BR>\n" );
document.write( "THANKS<BR>\n" );
document.write( "llo </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66396 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=66396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 4x - 2 shift down 3 and right 2 <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "To move the graph 2 to the right replace x by x-2<BR>\n" );
document.write( "y = 4(x-2) -1<BR>\n" );
document.write( "To then move the graph down 3 subtract 3 from the right side<BR>\n" );
document.write( "y = 4(x-2) -1 -3<BR>\n" );
document.write( "Final result: y = 4(x-2)-4<BR>\n" );
document.write( "or y = 4x-12<BR>\n" );
document.write( "Here are graphs of the original and the 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%2C4x-2%2C4x-12%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4x-2%2C4x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the graphs are lines you do not see the shift to the right;<BR>\n" );
document.write( "you only see the combination of the two changes.<BR>\n" );
document.write( "------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "y = -1/2x^2-2 shift left 4 and widen by 2<BR>\n" );
document.write( "To shift left 4 replace x by x+4 giving you<BR>\n" );
document.write( "y = (-1/2)(x+4)^2 - 2<BR>\n" );
document.write( "To widen by 2 multiply the variable term (1/2) giving you:<BR>\n" );
document.write( "y = (-1/4)(x+4)^2 - 2<BR>\n" );
document.write( "Here are graphs of the original and the 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%28-1%2F2%29x%5E2-2%2C%28-1%2F4%29%28x%2B4%29%5E2-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );