document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255156>Question 255156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please just help me with these two problems I am so confused... but so happy my dad found this website!! I graphed these twice and got a line and when I did it wrong I made my own V shape on the Y axis on purpose.<BR>\n" );
document.write( "Thanks!<BR>\n" );
document.write( "4. y=|-3x|\r<BR>\n" );
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document.write( "40. y=-|x-3|\r<BR>\n" );
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document.write( "I have way more problems but I'm hoping if a professional shows me how to do it that well... I might understand it or get how to do this for my other problems. Thanks again!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187475 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=187475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4).  y=|-3x| <BR>\n" );
document.write( "40). y=-|x-3| \r<BR>\n" );
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document.write( "Remember the definition of absolute value:\r<BR>\n" );
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document.write( "|a| = a if a>=0<BR>\n" );
document.write( "|a| = -a if a<0\r<BR>\n" );
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document.write( "So for #4 above we have y = -3x when -3x >= 0 and y = -(-3x) = 3x when -3x < 0.  Dividing both sides of these inequalities by -3 and reversing the sign of the inequalities (because we are dividing by a negative) we have -3x >= 0 if and only if x < 0. Similarly -3x < 0 if and only if x>=0.\r<BR>\n" );
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document.write( "So we have:\r<BR>\n" );
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document.write( "the line y = -3x when x <= 0 and<BR>\n" );
document.write( "the line y = 3x when  x > 0\r<BR>\n" );
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document.write( "These are two \"half\" iines which form a \"V\" with the low point at (0,0) and opening upward around the y-axis.\r<BR>\n" );
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document.write( "#40 is very similar. The \"V\" is shifted to the right to the point (3,0) and opens downward.\r<BR>\n" );
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document.write( "I hope this helps. <BR>\n" );
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