<PRE><B>Question 50264</B>
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).

----------------------------
y=ba^x+c
Since horizontal asymptote = -2, c=-2
y=ba^x-2
Since the y-intercept is 2,
2=b(1)-2
b=4
y=4a^x-2
Since it passes through (1,4)
4=4a^1-2
6=4a
a=(3/2)
----------------
EQUATION: y=4(3/2)^x-2

Cheers,
Stan H.

</PRE>