document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85085>Question 85085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with the problem\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 throgh the point P(1,4). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61313 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=61313\">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 throgh the point P(1,4).<BR>\n" );
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document.write( "y-intercept of 2 means it passes thru (0,2)<BR>\n" );
document.write( "It also passes thru (1,4)<BR>\n" );
document.write( "Find a and find b:<BR>\n" );
document.write( "horizontal asymptote of y=-2 means c=-2<BR>\n" );
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document.write( "Using (0,2) and c=-2<BR>\n" );
document.write( "2 = ba^0 -2<BR>\n" );
document.write( "4=b<BR>\n" );
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document.write( "Using (1,4) and c=-2 and b=4<BR>\n" );
document.write( "4 = 4[a^1]-2<BR>\n" );
document.write( "a=3/2<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "y = 4[3/2)]^x -2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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