document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156098>Question 1156098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an exponential function of the form <BR>\n" );
document.write( "f(x) = ba−x + c<BR>\n" );
document.write( " that has the given horizontal asymptote and y-intercept and passes through point P.<BR>\n" );
document.write( "y = 34;    y−intercept 659;    P(2, 134) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778806 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=778806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor made an ugly problem out of this by changing one of the numbers halfway through her work....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ba%5E%28-x%29%2Bc ALIGN=MIDDLE  ALT=\"y+=+ba%5E%28-x%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(1) Horizontal asymptote y=34 means c=34.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ba%5E%28-x%29%2B34 ALIGN=MIDDLE  ALT=\"y+=+ba%5E%28-x%29%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) y-intercept 659 gives us the value of b:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=659+=+b%28a%5E0%29%2B34 ALIGN=MIDDLE  ALT=\"659+=+b%28a%5E0%29%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+625 ALIGN=MIDDLE  ALT=\"b+=+625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) Use the given point (2,134) to find a:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134+=+625a%5E%28-2%29%2B34 ALIGN=MIDDLE  ALT=\"134+=+625a%5E%28-2%29%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+625a%5E%28-2%29 ALIGN=MIDDLE  ALT=\"100+=+625a%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+625%2F100 ALIGN=MIDDLE  ALT=\"a%5E2+=+625%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+25%2F10+=+2.5 ALIGN=MIDDLE  ALT=\"a+=+25%2F10+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+625%282.5%29%5E%28-x%29%2B34 ALIGN=MIDDLE  ALT=\"y+=+625%282.5%29%5E%28-x%29%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );