When you reflect a function across the y-axis the new function is obtained by changing x for (-x)
So, when you reflect y = (1/6) [2.5]^(x) across the y-axis you create the function g(x) = (1/6) [2.5] ^(-x)
Now, to obtain the ordered pairs, you just give a value to x and calculate g(x).
This table shows some ordered pairs:
x g(x) = (1/6) * (2.5) ^ (-x)
-10 (1/6) (2.5)^ (10) = 1,589.457
-1 (1/6) (2.5)^(1) = 0.416667
0 (1/6) (2.5)^(0) = 1/6 = 0.166667
1 (1/6) (2.5)^(-1) = 0.066667
10 (1/6)(2.5)^(-10) = 0.000017476
So, you see that to find each pair you give a value to x and then find the image replacing x in the function g(x) = (1/6)*[2.5](^-x).
