The graph of a sinusoidal function intersects its midline at (0,-3) and then has a maximum point at (2,-1.5).
Write the formula of the function, where x is entered in radians.
Answers
Answered by
2
Answer:
Step-by-step explanation:
Step-by-step explanation:
A sinusoidal function is generally written as
f(x) = A•Cos(wx)
Where
A is the amplitude
w Is the frequency
Then,
Given that,
at x = 0 f(x) = 7
Then,
f(x) = A•Cos(wx)
7 = A•Cos0
7 = A
A = 7
Also, at x = 3, f(x) = 3
f(x) = A•Cos(wx)
f(x) = 7•Cos(wx)
3 = 7•Cos(3w)
Cos(3w) = 3 / 7
3w = 1.13 rad
w = 1.13rad/3
w = 0.38rad
Then,
f(x) = A•Cos(wx)
f(x) = 7•Cos(0.38x)
Answered by
2
Answer:
y = 1.5sin[(pi / 4) * x] - 3
Mid line: y = - 3
Amplitude: -1.5 - (-3) = 1.5
From mean line to max is 1/4 of a cycle:
Period = 4 × 2=8
No. of cycles in 2pi:
2pi / 8 = pi / 4
y = 1.5sin[(pi / 4) * x] - 3
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