Answer:
It's C, g(x) = (1/2)^x
This is a horizontal reflection of y = 2^x
across the y axis.
Step-by-step explanation:
Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.
The transformations of a standard exponential function can be given by:
ab^(1/c(x-h))+k
First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.
