document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905095>Question 905095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand this:\r<BR>\n" );
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document.write( "For f(x) = -3x^2 + 3x + 1, find ( f(4+h) - f(4) ) / h .  Simplify completely.\r<BR>\n" );
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document.write( "Any help would be greatly appreciated!  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549037 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=549037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-3x%5E2+%2B+3x+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3x%5E2+%2B+3x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "First we need to find f(x+h)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-3x%5E2+%2B+3x+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3x%5E2+%2B+3x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+-3%28x%2Bh%29%5E2+%2B+3%28x%2Bh%29+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+-3%28x%2Bh%29%5E2+%2B+3%28x%2Bh%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace every x with x+h. Then expand.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+-3%28x%5E2%2B2xh%2Bh%5E2%29+%2B+3%28x%2Bh%29+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+-3%28x%5E2%2B2xh%2Bh%5E2%29+%2B+3%28x%2Bh%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+-3x%5E2-6xh-3h%5E2+%2B+3x%2B3h+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+-3x%5E2-6xh-3h%5E2+%2B+3x%2B3h+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Now we plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+-3x%5E2-6xh-3h%5E2+%2B+3x%2B3h+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+-3x%5E2-6xh-3h%5E2+%2B+3x%2B3h+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-3x%5E2+%2B+3x+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3x%5E2+%2B+3x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28h%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28h%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify as much as possible\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28h%29%29%2Fh+=+%28%28-3x%5E2-6xh-3h%5E2+%2B+3x%2B3h+%2B+1%29+-+%28-3x%5E2+%2B+3x+%2B+1%29%29%2Fh ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28h%29%29%2Fh+=+%28cross%28h%29%28-6x-3h%2B3%29%29%2F%28cross%28h%29%29 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28h%29%29%2Fh+=+%28cross%28h%29%28-6x-3h%2B3%29%29%2F%28cross%28h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28h%29%29%2Fh+=+-6x-3h%2B3 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28h%29%29%2Fh+=+-6x-3h%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Finally, we plug in x = 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%284%2Bh%29-f%28h%29%29%2Fh+=+-21-3h ALIGN=MIDDLE  ALT=\"%28f%284%2Bh%29-f%28h%29%29%2Fh+=+-21-3h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=======================================================\r<BR>\n" );
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document.write( "The final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%284%2Bh%29-f%28h%29%29%2Fh+=+-21-3h ALIGN=MIDDLE  ALT=\"%28f%284%2Bh%29-f%28h%29%29%2Fh+=+-21-3h\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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