document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962539>Question 962539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is confusing. My teacher may have written the question wrong, but I want to make sure. If it is written correctly, I don't know how to do this.\r<BR>\n" );
document.write( "\n" );
document.write( "The function f is defined by f(x)=x^2-2x-24. If f(x+3)=x^2+kx-21, what is the value of k? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588114 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=588114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the definition to find the result of x+3 as input of the function.  Examine the format of the general form expressions to determine k.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Definition:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-2x-24 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-2x-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Input (x+3):   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B3%29=%28x%2B3%29%5E2-2%28x%2B3%29-24 ALIGN=MIDDLE  ALT=\"f%28x%2B3%29=%28x%2B3%29%5E2-2%28x%2B3%29-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B9-2x-6-24 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B9-2x-6-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x-2x%2B9-6-24 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x-2x%2B9-6-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28f%28x%2B3%29=x%5E2%2B4x-21%29 ALIGN=MIDDLE  ALT=\"highlight_green%28f%28x%2B3%29=x%5E2%2B4x-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You were given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28f%28x%2B3%29=x%5E2%2Bkx-21%29 ALIGN=MIDDLE  ALT=\"highlight_green%28f%28x%2B3%29=x%5E2%2Bkx-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You can simply equate the two formulas for f(x+3).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x-21=x%5E2%2Bkx-21 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-21=x%5E2%2Bkx-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=kx ALIGN=MIDDLE  ALT=\"4x=kx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284=k%29 ALIGN=MIDDLE  ALT=\"highlight%284=k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );