A function is shown f (x) = 5 (x-2) ^2+3 what is the minimum value of the function

+ 3

Step-by-step explanation:

The equation of a parabola in vertex form is

f (x) = a (x - h) ² + k

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

f (x) = (x - 2) ² + 3 ← is in vertex form

with vertex = (2, 3)

The minimum value occurs at the vertex and is the value of k

k = 3, thus minimum value is 3