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22 September, 09:16

Which function's graph has a period of 2?

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  1. 22 September, 09:18
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    Option 2. y = 3 cos πx is the answer.

    Step-by-step explanation:

    If the function is in the standard form of y = acos (bx+c) or y = asin (bx+c)

    Then period of the given function will be = 2π/b

    1) For y = cos (x - π/2)

    Therefore period of the function will be = 2π/1 = 2π

    2) For y = 3cos πx

    Period = 2π/π = 2

    Correct option.

    3) y = 2 sin 3x

    Period of the function = 2π/3

    4). y = - 4sin 2x

    Period of the function = 2π/2 = π

    So option 2 is the answer.
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