Answer
g(x) = 2ˣ⁺² or 2^(x + 2)
[tex]g(x)=2^{x+2}[/tex]
Explanation
When a function f(x) is translated horizontally along the x-axis by a units, the new function is represented as
f(x + a) when the translation is by a units to the left.
f(x - a) when the translation is by a units to the right.
Looking at the coordinates of the points given on f(x) and g(x), we can see that g(x) is just f(x) translate 2 units to the left.
Hence, if f(x) = 2ˣ
g(x) = f(x + 2) = 2ˣ⁺² or 2^(x + 2)
Hope this Helps!!!
