To graph the function g(2) = 4 cos (2x) - 2, we can use the sine tool. First, we need to determine the coordinates of the two points that we will use to graph the function.
The first point must be on the midline, so we can set x = 0 and solve for y. This gives us y = 4 cos (2(0)) - 2 = 4 - 2 = 2, so the coordinates of the first point are (0, 2).
For the second point, we need to find the maximum or minimum value on the graph closest to the first point. To do this, we need to find the x-coordinate of the maximum or minimum value and then use that to solve for y.
For this function, the maximum or minimum value is at x = pi/4, so the x-coordinate of the second point is pi/4. To solve for y, we can plug this x-coordinate into the equation and solve for y: y = 4 cos (2(pi/4)) - 2 = 4 - 2 = 2, so the coordinates of the second point are (pi/4, 2).
Now we have the two points necessary to graph the function. We can use the sine tool to graph the function, using the two points we just found. The graph will look like a sine wave, with the first point (0, 2) being the midline and the second point (pi/4, 2) being the maximum or minimum value on the graph closest to the first point.