Suppose f(x)=x^2 and g(x)=(1/3x)^2. which statement best compares the graph of g(x) with the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted 1/3 units right. 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. c. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 3. d. the graph of g(x) is the graph of f(x) horizontally compressed by a factor of 3.

Vertically compressed by 1/9 not 3

Step-by-step explanation:

See picture attached to see comparison. The parent graph is black and the new graph is red. By adding 1/3 to the graph, the parabola becomes more compressed and wider. It is vertically compressed to become wider.

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.

step-by-step explanation: