Which is the graph of the function f(x)=4sin(5x/2)+1 ?(1 point) Responses
Unfortunately, I cannot generate a graph here as this is a text-based platform. However, I can describe how the graph of the function f(x)=4sin(5x/2)+1 would look like.
The graph of the function f(x) = 4sin(5x/2)+1 is a sinusoidal function. It is a sine function that has been stretched vertically by a factor of 4 and shifted upward by 1 unit.
The amplitude of the graph is 4, meaning the maximum value is 4 units above the mean (or midline) and the minimum value is 4 units below the mean.
The period of the graph is 2π/5, meaning it takes 2π/5 units of x for the graph to complete one full cycle.
The mean (or midline) of the graph is located at y = 1, which is the new horizontal position of the x-axis.
Overall, the graph of f(x) = 4sin(5x/2)+1 would oscillate around the mean with a period of 2π/5 and an amplitude of 4.