Answer:
vertex = (2, 5 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x - 2)² + 5 ← is in vertex form
with (h, k) = (2, 5 ) ← vertex