Question

Which is a coordinate rule for the translation of f(x) to g(x)?




(x, y) → (x – 4, y)


(x, y) → (x, y – 4)


(x, y) → (x, y + 4)


(x, y) → (x + 4, y)

Answer 1

If f(x) is black, then your answer is

(x, y) → (x, y + 4)

If f(x) is red, then your answer is

(x, y) → (x, y - 4)

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(x, y) → (x, y + n) - translate the graph n units up

(x, y) → (x, y - n) - translate the graph n units down

(x, y) → (x - n, y) - translate the graph n units left

(x, y) → (x + n, y) - translate the graph n units right