ACT Preparation / Unit 14 ACT 1329 short lesson, about 20 seconds
Amplitude and Period
Captions available
The idea
For y = a sin(bx) or y = a cos(bx), the amplitude is |a|, half the distance from lowest to highest point, and the period is 2π/b, the length of one full cycle.
In practice
y = 3 sin(2x) rises to 3, falls to −3, and repeats every π.
Where people slip
A larger b makes the cycles shorter, not longer.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
Unlocks
- Nothing yet depends on this.
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