What function is represented below?
f(x) = (1/4)^{x + 2}
f(x) = (1/4)^x + 2
f(x) = (1/4)^{x - 2}
f(x) = (1/4)^x - 2

Solution:

Let us graph the given options in a graph

f(x) = (1/4)^{x + 2} ⇒ The black graph

f(x) = (1/4)^x + 2 ⇒ The red graph

f(x) = (1/4)^{x - 2} ⇒ The blue graph

f(x) = (1/4)^x - 2 ⇒ The green graph

Therefore, the function f(x) = (1/4)^{x + 2} is represented in the graph.

What function is represented below?  f(x) = (1/4)^{x + 2}  f(x) = (1/4)^x + 2  f(x) = (1/4)^{x - 2}  f(x) = (1/4)^x - 2

Summary:

The function f(x) = (1/4)^{x + 2} is represented in the graph.