A regular pentagon is graphed in the standard (x,y) coordinate plane. Which of the following are the coordinates for the vertex P?

If g(x) is a transformation of f(x) that moves the graph of f(x) four units up and three units left, what is g(x) in relation to f(x)?

If this is a cosine graph, what is the phase displacement?

If this is a sine graph, what is the phase displacement?

What is the period of the function?