Asked by Brandon
unsure how to find phase shift,vertical shift of y=-2cos(x+3.14/4)+5
Answers
Answered by
MathMate
This question has to do with the basic definitions of the terminologies of the harmonic functions. I will give you an example which you can compare with your school notes, or your textbook.
In the case of
y = a sin k(x-φ) + v
|a| = amplitude
k = period
φ=phase shift (note the minus sign)
v=vertical shift
Take
y = -3 sin 2(x+π/6) + 7
rewrite as:
y = -3 sin 2( x- (-π/6)) + 7
amplitude = |-3|=3
period = 2
phase shift = -π/6
vertical shift = 7
Feel free to post your attempt for confirmation.
In the case of
y = a sin k(x-φ) + v
|a| = amplitude
k = period
φ=phase shift (note the minus sign)
v=vertical shift
Take
y = -3 sin 2(x+π/6) + 7
rewrite as:
y = -3 sin 2( x- (-π/6)) + 7
amplitude = |-3|=3
period = 2
phase shift = -π/6
vertical shift = 7
Feel free to post your attempt for confirmation.
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