Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given

$g(x) = f(x - 2) + 7$

Required

Relationship between f(x) and g(x)

We have:

$f(x)$

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

The rule is:

$x \to x -2$

So,  it becomes:

$f(x - 2)$

When $f(x - 2)$ is shifted up by 7 units,

The rule is:

$y \to y + 7$

So, it becomes:

$f(x - 2) + 7$

Hence;

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