Suppose that g(x) = f(x) + 3. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is shifted 3 units to the right
b. the graph of g(x) is shifted 3 units down.
c. the graph of g(x) is shifted 3 units up.
d. the graph of g(x) is vertically stretched by a factor of 3.

C. the graph of g(x) is shifted 3 units up.

Step-by-step explanation:

The statement that compares the graph of g(x) with the graph of f(x) is that the graph of g(x) is shifted 3 units up.

If we have the equation:

G(x) = F(x) + 3

Then, the graph of G(x) will be composed of points 3 units above the graph of F(x).

Conversely, the difference between F(x) and G(x) at any particular value of x will always be 3.

good luck!

cutie~