Asked by Bernice
Determine the amplitude of: y=-2sinx
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Answered by
Writeacher
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Answered by
MathMate
A typical trigonometric function such as
f(x) = a sin k(x-φ)
has the following definitions:
amplitude = |a|, or the absolute value of a
period = 2π/k
phase shift = φ
For example,
y = 3 sin 2(x-π/4)
has an amplitude of 3, period of 2π/2=π, and phase shift of π/4 to the right.
So for y = -2 sin x,
the amplitude would be |-2| = 2.
f(x) = a sin k(x-φ)
has the following definitions:
amplitude = |a|, or the absolute value of a
period = 2π/k
phase shift = φ
For example,
y = 3 sin 2(x-π/4)
has an amplitude of 3, period of 2π/2=π, and phase shift of π/4 to the right.
So for y = -2 sin x,
the amplitude would be |-2| = 2.
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