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Flip to reveal answersIn y = a sin(bx) + d, what is a?
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All 9 Flashcards — Trig transformations
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Question
In y = a sin(bx) + d, what is a?
Answer
The amplitude (vertical stretch).
Question
In y = a sin(bx), what is the period?
Answer
360°/b (or 2π/b) — b divides the period.
Question
In y = a sin(bx) + d, what does d do?
Answer
Shifts the wave vertically; the midline is y = d.
Question
In y = a sin(b(x − c)) + d, what is c?
Answer
The horizontal (phase) shift — right by c.
Question
Amplitude from max and min?
Answer
a = (max − min)/2.
Question
Midline (d) from max and min?
Answer
d = (max + min)/2.
Question
How do you find b from a period?
Answer
b = 2π/period (or 360°/period).
Question
Period of y = 3 sin(2x)?
Answer
360°/2 = 180° (or 2π/2 = π).
Question
Check using a and d?
Answer
max = d + a, min = d − a.
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Full study notes for Trig transformations
Topic 3.7 hub
Trig graphs & transformations
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