There are 4 visible faces, 5 vertices, and 8 edges.
But considering you can see the bottom of the pyramid, there would then be 5 visible faces, 5 vertices, and 8 edges.
* * * * *
That is an incomplete answer. A pyramid need not have a quadrilateral base. "Pyramid" is a generic term for a 3-dimensional shape with a base which is an n-sided polygon and n triangular faces that meet at an apex.
A pyramid with a n-polygon base has
n + 1 faces,
n + 1 vertices