Question

Which of the following are equivalent to the function y=3cosx + 2?

Check all that apply



Note: The ones I highlighted in blue are the answers I've chosen

Answer 1

your choices are correct

Explanation:

sin(x +π/2) is a translation of the sine function to the left by π/2 units, which makes it look exactly like the cosine function that you want.

cos(-x) is the same as cos(x), since the cosine function is an even function.

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sin(x -π/2) will look like -cos(x), not what you want.

The third choice is a reflection across the x-axis of the function you started with. It is not equivalent.