Suppose that G(x) = F(x-2)+7. Which statement best compares the graph of G(x) with the graph of F(x)?

g(x) is f(x) shifted 2 units right and 7 units up

Step-by-step explanation:

Given

Required

Relationship between f(x) and g(x)

We have:

When f(x) is shifted 2 units to the right;

The rule is:

So,  it becomes:

When is shifted up by 7 units,

The rule is:

So, it becomes:

Hence;

g(x) is f(x) shifted 2 units right and 7 units up