A quadratic function h(x) passes through the points (-6, 64), (2, 5) and (6, 5). Which statement correctly describes h(x)?

a. The line x = -4 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that line.

b. The line x = -4 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that line.

c. The line x = 4 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that line.

d. The line x = 4 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that line.