Question

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)? ​

Answer 1

A function assigns the values. The function of the graph g(x) is 3(2ˣ).

What is a Function?

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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