How do i find the vertex of y=-0.05x^2+1.25

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)