document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031008>Question 1031008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the difference quotient f(x+h)-f(x)/h (where h cannot =0) for the function defined by f(x)= -2x^2+4x. Simplify the result.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645849 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the difference quotient f(x+h)-f(x)/h (where h cannot =0) for the function defined by f(x)= -2x^2+4x<BR>\n" );
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document.write( "f(x)= -2x^2+4x<BR>\n" );
document.write( "f(x+h)= -2(x+h)^2+4(x+h) = -2x^2-4hx-2h^2+4x+4h<BR>\n" );
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document.write( "f(x+h) - f(x)= -2x^2-4hx-2h^2+4x+4h - (-2x^2+4x) = -4hx - 2h^2 + 4h<BR>\n" );
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document.write( "Diff/h = -4x + 4 - 2h </SPAN>\n" );
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