Find a value a > 0 so that the graph of the exponential function f ( x ) = a x contains the point (2,1/4)

Answer 1

f(x) =ab^x

y =ab^2

1/4 =ab^2

if it goes through the the point (0,1)

then

1= ab^0 = a(1) = a

a =1

1/4 = b^2

b = 1/2

f(x) = (1/2)^x

=1/2^x

= .5^x