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" );
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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" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33399 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=33399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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" );
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document.write( "y=ba^x+c<BR>\n" );
document.write( "Since horizontal asymptote = -2, c=-2<BR>\n" );
document.write( "y=ba^x-2<BR>\n" );
document.write( "Since the y-intercept is 2,<BR>\n" );
document.write( "2=b(1)-2<BR>\n" );
document.write( "b=4<BR>\n" );
document.write( "y=4a^x-2<BR>\n" );
document.write( "Since it passes through (1,4)<BR>\n" );
document.write( "4=4a^1-2<BR>\n" );
document.write( "6=4a<BR>\n" );
document.write( "a=(3/2)<BR>\n" );
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document.write( "EQUATION: y=4(3/2)^x-2\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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