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Flip to reveal answersWhat does y = f(x) + k do?
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All 8 Flashcards — Translations
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Question
What does y = f(x) + k do?
Answer
Translates the graph up by k (down if k < 0) — an outside change, as expected.
Question
What does y = f(x − a) do?
Answer
Translates the graph RIGHT by a — inside changes move the opposite way.
Question
Why does f(x − 3) move right, not left?
Answer
To get the same output, x must be 3 bigger, so the graph sits 3 to the right.
Question
y = f(x + 2) moves the graph which way?
Answer
Left 2 (inside +2 is the opposite of its sign).
Question
Translation vector for f(x − a) + b?
Answer
Top a (right), bottom b (up).
Question
Image of (3, 5) under y = f(x − 2) + 1?
Answer
(5, 6) — right 2, up 1.
Question
Do asymptotes and intercepts translate too?
Answer
Yes — every feature slides by the same vector.
Question
Which changes act on x, which on y?
Answer
Inside f acts on x (left/right, opposite sign); outside f acts on y (up/down, as written).
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Full study notes for Translations
Topic 2.11 hub
Transformations
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Math AA SL exam skills
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