document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47998>Question 47998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the 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( "Possible solutions are:\r<BR>\n" );
document.write( "\n" );
document.write( "a. f(x)=-2(2^x)<BR>\n" );
document.write( "b. f(x)=2(2^x)-2<BR>\n" );
document.write( "c. f(x)=2(1.5^x)-2<BR>\n" );
document.write( "d. f(x)=4(1.5^x)-2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31743 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=31743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the 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( "y-intercept 2 means it passes through (0,2)<BR>\n" );
document.write( "Then 2=ba^0 + c<BR>\n" );
document.write( "2=b+c<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "horizontal asymptote y=-2 means c=-2<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Substitute that into 2=b+c to get <BR>\n" );
document.write( "2=b-2<BR>\n" );
document.write( "b=4<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Passes through the point (1,4) means<BR>\n" );
document.write( "4=a(4^1)-2<BR>\n" );
document.write( "6=4a<BR>\n" );
document.write( "a=(3/2)<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y=4(3/2)^x -2<BR>\n" );
document.write( "That is answer \"d\"<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );