SOLUTION: Hello. I need to find the (1) amplitude; (2) period; and (3) phase shift without graphing for this problem:
y = 2 sin(2x-pi)
Thank you in advance.
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-> SOLUTION: Hello. I need to find the (1) amplitude; (2) period; and (3) phase shift without graphing for this problem:
y = 2 sin(2x-pi)
Thank you in advance.
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Question 1064124: Hello. I need to find the (1) amplitude; (2) period; and (3) phase shift without graphing for this problem:
y = 2 sin(2x-pi)
Thank you in advance. Found 2 solutions by Edwin McCravy, math_helper:Answer by Edwin McCravy(20056) (Show Source):
For either of these:
or
Your problem is this:
where
Now you can finish by substituting. If you have trouble
substituting, tell me about it in the thank-you note form
below, and I'll get back to you by email. No charge ever!
Edwin
You can put this solution on YOUR website! For the form:
A = amplitude
k = where T=period (Note also that )
C/k = phase shift (Note: if C < 0, we are shifting toward the right along the x-axis)
D = vertical shift along y-axis, (if D < 0 we are shifting up along positive y-axis)
—
Comparing the above to we get:
Amplitude =
Period =
Phase shift = radians (= ) (the shift is to the right)
—
Update: After seeing Edwin's answer, I must admit that I missed absolute value of A as amplitude, so it is |A| = amplitude.
