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

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.