Answer:
The focus of the parabola is (3, 2)
Step-by-step explanation:
The focus of a parabola y = a(x - h)² + k is [h, (k + 1/4a)]
From the given parabola is f(x) = 1/ 4 (x – 3)2 + 1
a = 1/4, h = 3, k = 1
Focus = [3, (1 + 1/4 x 1/4)]
= (3, 2/1)
= (3, 2)
Focus of the parabola: f(x) = 1/ 4 (x – 3)2 + 1 = (3, 2)