Answer:
Lowest point y = -2, highest point = 6
Explanation:
The given function is g(t) = 4sin (3t) + 2
When we plot the function on a graph we use the sine graph y = a sin(bx+c) + d. Here a is amplitude, c is horizontal shift and d is vertical shift.
Therefore in this function d is 2 so sine graph is vertically shifted of we can say y = 2 is the center line
Here in the given function amplitude of the sine wave is 4.
The lowest point on the graph will be y = 2-4 = -2
The highest point of the graph will be y = 2+4 = 6