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swat32
3 years ago
14

Could someone please help answer this, will give brainliest, please no spam, thank you! (homework help)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

X is greater then or equal to - 15

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Read 2 more answers
Anybody know the right answer?
Dmitry_Shevchenko [17]

If we just have

y = \cos x

that's an amplitude of 1 and a period of 2\pi

Let's modify this step by step.

Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.

y = 4 \cos x

Period of π. Double the period means a factor of 2 on the inside.

y = 4 \cos(2x)

Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it

y = 4 \cos(2(x + \frac \pi 2))

Vertical shift of 3:

y = 3 + 4 \cos(2(x + \frac \pi 2))

y = 3 + 4 \cos(2x +  \pi)

Depending on the interpretation of the phase shift, that pi may be a pi/2.

Answer: 3 + 4 \cos(2x +  \pi)

4 0
3 years ago
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