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Flip to reveal answersWhat does y = a·f(x) do?
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All 9 Flashcards — Stretches & reflections
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Question
What does y = a·f(x) do?
Answer
Stretches the graph vertically by factor a (every y ×a).
Question
What does y = f(bx) do?
Answer
Stretches the graph horizontally by factor 1/b (the reciprocal).
Question
f(2x) — stretch or squash, and by how much?
Answer
Squash horizontally by factor 1/2 (the graph narrows).
Question
What does y = −f(x) do?
Answer
Reflects the graph in the x-axis (y-coordinates flip sign).
Question
What does y = f(−x) do?
Answer
Reflects the graph in the y-axis (x-coordinates flip sign).
Question
Image of (2, 5) under y = 3f(x)?
Answer
(2, 15) — multiply y by 3.
Question
Image of (2, 5) under y = f(−x)?
Answer
(−2, 5) — negate x.
Question
Which transformations does a vertical stretch leave fixed?
Answer
The x-intercepts (their y is 0, so 0 × a = 0).
Question
Outside vs inside changes — what do they affect?
Answer
Outside the function affects y; inside affects x (reciprocal for stretch, opposite for shift/flip).
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Full study notes for Stretches & reflections
Topic 2.11 hub
Transformations
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