The graph of f(x)=3×2 -3 is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x)?
![The graph of fx32 3 is shown below gx is a transformation of fx How would you write the equation for the function gx class=](https://us-static.z-dn.net/files/dba/3feb41053988ca9aa289e31f531191f9.jpg)
A function assigns the values. The function of the graph g(x) is 3(2ˣ).
A function assigns the value of each element of one set to the other specific element of another set.
Given the function of the graph is f(x)=3(2ˣ)-3, which is needed to be transformed to g(x), since g(x) is the function of f(x) transformed 3 units upwards therefore, the function of g(x) can be written as,
g(x) = f(x) + 3
g(x) = 3(2ˣ)-3+3
g(x) = 3(2ˣ)
Hence, the function of the graph g(x) is 3(2ˣ).
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