A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point.
How could you use that information to show that parallel lines have the same slope?

There are 48 blue cards total

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.