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lana66690 [7]
2 years ago
7

Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4

? (1 point) f(x) = –4 cos 4x + 3
f(x) = 3 cos(x – pi/2 ) – 4

f(x) = 4 cos(x – pi/2 ) + 3

f(x) = 3 cos 4x – 4
Mathematics
2 answers:
Grace [21]2 years ago
8 0
To transform the function f(x)= cos(x) to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have y=3f(x)

To transform the function f(x)=cos(x) to have the midline y=-4 we need to subtract f(x) by 4, so we have y=f(x)-4, 

To transform the function f(x)=cos(x) to have period of \frac{ \pi }{2}, we need to divide the original period 2 \pi by 4, so we have y=f(4x). Note that it is the 4x gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes

Hence, the full transformation is given y=3f(4x)-4 which is the last option
mote1985 [20]2 years ago
8 0

Answer:

D) f(x) 3 cos 4x-4 (I just took it)

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