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What is the phase shift from the graph y = 51 cos(24x-5) +11 ?Question 7Answera.5/24b.p/12c.-5/24d.-p/12

Question

What is the phase shift from the graph y = 51 cos(24x-5) +11 ?

Question 7
Answer
a. 5/24
b. π/12
c. -5/24
d. -π/12

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Solution

The phase shift of the function y = 51 cos(24x-5) +11 is determined by the term inside the cosine function. In this case, it is (24x - 5).

The phase shift formula for a cosine function y = A cos(Bx - C) + D is C/B.

Here, A = 51, B = 24, C = 5, and D = 11.

Substituting B and C into the phase shift formula gives us a phase shift of 5/24.

So, the answer is a. 5/24.

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