Write a coordinate rule for the translation of f(x) to g(x).

a.
(x, y) → (x – 4, y + 5)

b.
(x, y) → (x – 5, y + 4)

c.
(x, y) → (x + 5, y – 4)

d.
(x, y) → (x + 4, y – 5)

The best and most correct answer among the choices provided by your question is the third choice or letter C.

The coordinate rule for the translation of f(x) to g(x) is (x, y) → (x + 5, y – 4).

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The correct answer is B

If the translation is horizontal, the x-coordinates change.

If the translation is vertical, the y-coordinates change.