document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50264>Question 50264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need some help with this one.\r<BR>\n" );
document.write( "\n" );
document.write( "Find an exponential function of the form f(x)=ba^x +c with y- intercept 2, horizontal asymptote y = -2, that passes through the point P(1,4).\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33387 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=33387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = ba^x + c<BR>\n" );
document.write( "y = ba^x - 2<BR>\n" );
document.write( "y = ba^x - 2 P(0,2)<BR>\n" );
document.write( "2 = ba^0 - 2<BR>\n" );
document.write( "2 = b - 2<BR>\n" );
document.write( "4 = b<BR>\n" );
document.write( "plug.:<BR>\n" );
document.write( "y = 4*a^x - 2 P(1,4)<BR>\n" );
document.write( "4 = 4*a - 2<BR>\n" );
document.write( "6 = 4a<BR>\n" );
document.write( "3/2 = a<BR>\n" );
document.write( "plug.:<BR>\n" );
document.write( "f(x) = 4(3/2)^x - 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-6%2C6%2C-6%2C6%2C-2%2C4%283%2F2%29%5Ex-2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-6%2C6%2C-6%2C6%2C-2%2C4%283%2F2%29%5Ex-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );