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For the function y=-3+ cos (x + 4)], what is the minimum value?

1 Answer

5 votes

Answer:

-4 is the mimumum of y=-3+cos(x+4)

Explanation:

The minimum value of y=cos(x) is -1.

The minimum value of y=cos(x+4) is still -1; the +4 inside the cosine function only affected the horizontal shift.

The minimum value of y=-3+cos(x+4) is -3-1 which is -4. This brought the graph down 3 units so if the minimum was previously -1 and it got brought down 3 units then it's new minimum is -4.

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