Respuesta :

y=-0.5x²+1.25

To find the vertex we need to write given equation in the vertex form.
y=a(x-h)²+k
(h,k) - coordinates of the vertex

y=-0.5x²+1.25 can be written as
y=-0.5(x-0)²+1.25
So, h=0, k=1.25
Vertex is (0, 1.25)