Question

Determine the vertex of the function f(x) = 2(x - 4)2 + 5.

(-4,5)
(4,5)
(5, -4)
(5, 4)​

Answer 1

(4, 5).

Explanation:

Compare it with the general form:

f(x) = a(x - b)^2 + c where the vertex is (b, c).

f(x) = 2(x - 4)^2 + 5.

Here b = 4 and c = 5 so the vertex is;

(4, 5).