Answer:
Vertex: (4, 0)
Axis of symmetry: x = 4
Explanation:
This quadratic is in vertex form. Vertex form is
y = a(x - h)² + k where the point (h, k) is the vertex.
For this equation we have
y = -(1/8)(x - 4)² + 0, so our vertex is at the point (4, 0)
*It's positive 4 because the equation is (x - h), so we're subtracting positive 4
The axis of symmetry is the equation of the vertical line that goes through the x coordinate of the vertex (quadratics are symmetric from the vertex)
So the axis of symmetry is x = 4