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.