The given function is y = -4x^2 + 16x.
(a) To find the axis of symmetry, we use the formula x = -b/2a, where a = -4 and b = 16.
x = -b/2a = -16/2(-4) = 2
Therefore, the axis of symmetry is x = 2.
(b) To find the vertex, we substitute x = 2 into the given equation and solve for y:
y = -4(2)^2 + 16(2) = -16 + 32 = 16
Therefore, the vertex is (2, 16).
Hence, the axis of symmetry is x = 2 and the vertex is (2, 16).