y = 4-2cosx
what does the 4 mean since it is not part of the amplitude.
thanks in advance
4 is the mean value when you average over all values of x
suppose that a width of a rectangle is 5 inches shorter than the length and the the perimeter of the rectangle is 50
set up an equation for the perimeter invlving only l, the length of the rectangle
find the length and width
It took Jose 3 hours to drive to Wayne's house at 16 kilometers per hour. How far is it between Jose's house and Wayne's house?
The equation y = 4 - 2cos(x) represents a sinusoidal function. In this equation, the number 4 is not part of the amplitude.
The amplitude of a sinusoidal function refers to the maximum distance from the midline (or average value) to the highest or lowest point of the graph. For this equation, the amplitude is 2, which is the coefficient of the cosine function.
On the other hand, the number 4 in y = 4 - 2cos(x) is the vertical shift or the vertical translation of the graph. It indicates that the entire graph of the function is shifted vertically upward by 4 units.
To visualize this, you can consider the graph of the cosine function y = cos(x), which oscillates between -1 and 1. By subtracting 2cos(x), the graph is vertically compressed (amplitude 2) and shifted up by 4 units.
So, in y = 4 - 2cos(x), the number 4 represents the new midline or average value of the graph, which is shifted up from the x-axis.