document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666524>Question 666524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate f(a+1) if f(x)=x^2+2x+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414551 by </B><A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><B>Leaf W.(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><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/cgi-bin/show-face.mpl?user=Leaf+W.><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+%2B+5 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; evaluate f(a + 1)<BR>\n" );
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document.write( "In f(a + 1), the a + 1 is taking the place of the x in f(x). As a result, simply plug the the a + 1 into the equation for f(x), exchanging each instance of x with a + 1: f(a + 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+1%29%5E2+%2B+2%28a+%2B+1%29+%2B+5 ALIGN=MIDDLE  ALT=\"%28a+%2B+1%29%5E2+%2B+2%28a+%2B+1%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use the FOIL method to simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+1%29%5E2 ALIGN=MIDDLE  ALT=\"%28a+%2B+1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >: f(a + 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+2a+%2B+1+%2B+2%28a+%2B+1%29+%2B+5 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+2a+%2B+1+%2B+2%28a+%2B+1%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Distribute the 2 into the a + 1: f(a + 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+2a+%2B+1+%2B+2a+%2B+2+%2B+5 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+2a+%2B+1+%2B+2a+%2B+2+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify by adding together the 2a and 2a and the 1, 2, and 5: f(a + 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+4a+%2B+8 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+4a+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Your final answer is f(a + 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+4a+%2B+8 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+4a+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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