document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250685>Question 250685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the function\r<BR>\n" );
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document.write( "f(x)=-1/2|x-4|+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185027 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=185027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since this is absolute value function, we should be able to tell 3 things just by looking at the function:<BR>\n" );
document.write( "(i) vertex<BR>\n" );
document.write( "(ii) open up or down<BR>\n" );
document.write( "(iii) wide, regular, skinny graph<BR>\n" );
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document.write( "(i) The vertex is at (4,5)<BR>\n" );
document.write( "(ii) It opens down, because there is a (-) sign in front of the absolute value.<BR>\n" );
document.write( "(iii) It is wide since there is a 1/2 in front of the absolute value.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "to graph, plot (4,5). Then pick x = 2. We get <BR>\n" );
document.write( "-1/2|2-4|+5 = 4. So, (2.4)<BR>\n" );
document.write( "Now pick x = 6.<BR>\n" );
document.write( "-1/2|6-4|+5 = 4. So, (6,4).<BR>\n" );
document.write( "Make a rough sketch and you are done. </SPAN>\n" );
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