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Slav-nsk [51]
3 years ago
9

PLEASE HELP!!! Which transformations are needed to change the parent cosine function to the cosine function below?

Mathematics
2 answers:
rusak2 [61]3 years ago
8 0

Answer: D

vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down

Step-by-step explanation:

Given that,

On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 3. It goes through 2 cycles at 2 pi. The it will experience a transformation of

vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down

Alik [6]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

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Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

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y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

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Replace y with a'(d)

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Prove that a(d) and a'(d) are inverse functions

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To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

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