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8. Find the focus of the parabola: f(x) = 1/ 4 (x – 3)2 + 1

User Nha
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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)

User Keiko
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