What is the vertex of the function f (x) = 3 (x-4) ^2+5

vertex = (4, 5)

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) = 3 (x - 4) ² + 5 ← is in vertex form

with vertex = (4, 5)