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?

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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

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non-answer:

choosing

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