what is the period of y= -4cos(4x-5)+2 ?

Question

Thank You.

Answer 1

amplitute = 4
shift up by 2

Answer 2

Set 4x-5 (the argument of the cosine) equal to 0 to get x = 5/4. Now set 4x-5 equal to 2π and get
x = (π/2) + (5/4). The difference between these two x values (π/2) is the 'period' in terms of x.

The -2 'shifts' the graph to the right by 2 units, the
-4 'scales' the height of the graph, and the +2 moves it'up' 2 units from the x axis.

HTH

Doug

Answer 3

pi/2. The period of a cosine graph is 2pi/b, where b is the coefficient before x, and the function is in the form y = acos(bx) + c.