In the function f (x) = (x - 2) ^2 + 4, the minimum occurs at

4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a (x - h) ² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

The max / min of the function is the value of k

f (x) = (x - 2) ² + 4 ← is in vertex form

with (h, k) = (2, 4) → k = 4

Thus minimum occurs at 4