Answer:
B. The graph of g(x) is the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.
Step-by-step explanation:
Horizontal shifting right by c units,

Horizontally stretched by factor c.

Vertically stretched by factor c. ( where, 0< |c|<1 )

Horizontally compressed by a factor of c. ( where, |b| > 1 )

Here,

When f(x) is shifted 1/3 unit right,
Then, the transformed function is,

When f(x) is stretched horizontally by the factor of 3,
Then, the transformed function is,

When, f(x) vertically stretched by a factor of 3,
Then, the transformed function is,

When, f(x) is horizontally compressed by a factor of 3,
Then, the transformed function is,

Hence, option B is correct.