document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=835529>Question 835529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help? <BR>\n" );
document.write( "g(x)=|x|-3<BR>\n" );
document.write( " I need to find I need to find the intercept/vertex/start/end points.  I also need the domain and range written in interval notation.  Then I need to assume that it shifted 3 units upward and 4 units to the left and say how it effects the equation and incorporate the new numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503589 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=503589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function g(x) as given has the domain, all real numbers.  The critical point is at x=0.\r<BR>\n" );
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document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0 ALIGN=MIDDLE  ALT=\"x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=-x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=-x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The y-intercept is (0,-3).<BR>\n" );
document.write( "g(x) has a minimum, vertex point (0,-3).<BR>\n" );
document.write( "This means RANGE is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29%3E=-3 ALIGN=MIDDLE  ALT=\"g%28x%29%3E=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "INTERVAL NOTATION:  <BR>\n" );
document.write( "Domain, (-oo, +oo).<BR>\n" );
document.write( "Range, [-3, +oo).\r<BR>\n" );
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document.write( "Shift upward 3 units and 4 units to the left:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=abs%28x%2B4%29-3%2B3 ALIGN=MIDDLE  ALT=\"h%28x%29=abs%28x%2B4%29-3%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=abs%28x%2B4%29 ALIGN=MIDDLE  ALT=\"h%28x%29=abs%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The given, function g(x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29-3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The changed function, h(x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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