Question

The graph of F(x), shown below, has the same shape as the graph of

G(x) = x, but it is shifted up 2 units. What is its equation?

Answer 1

Greetings from Brasil...

We know that the translations are established as follows:

→ Horizontal

F(X + k) ⇒ k units to the left

F(X - k) ⇒ k units to the right

→ Vertical

F(X) + k ⇒ k units up

F(X) - k ⇒ k units down

G(X) = X and F(X) is G(X) shifted up 2 units.

In the statement it is said that there was a translation of 2 units upwards, so

F(X) = G(X) + k where k = 2 units up

F(X) = X + 2