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23 April, 11:14

What effect will 4 have on the graph of y = sin (x) ?

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  1. 23 April, 11:26
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    The effect of 4 on the graph of y = sin (x) + 4 is that it shifts the graph by 4 units up.

    The effect of 4 on the graph of y = sin (4x) is that its period would be 1/4th of 2π, i. e it completes one oscillation every π/2 units.

    Step-by-step explanation:

    The graph of y = sin (x) is a wave that keeps oscillating between - 1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

    The graph of y = sin (x) is referred to as a periodic function because it repeats itself infinitely.

    The effect of 4 on the graph of y = sin (x) + 4 is that it shifts the graph by 4 units up.

    The effect of 4 on the graph of y = sin (4x) is that its period would be 1/4th of 2π, i. e it completes one oscillation every π/2 units.
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