This is an example of a
sine wave function. A given sine wave function has a standard form of:
y = A sin [B (x + C)] + D
Where,
A = absolute value of
amplitude
2 π / B = the period of
the sine wave
D = is the midline of y
C = phase of the sine
wave
Rewriting the given
equation into this form will yield:
f (x) = -7 sin[4 (x – π / 4)]
+ 2
Therefore from this form,
we can get the answers:
Amplitude = 7
Period = 2π / 4 = π / 2
Midline = 2
