Question

Determine the vertex of the function f(x) = 3x2 – 6x + 13.

Answer 1

1. a = 3, b = -6, of the standard form.

Rewrite the equation to the vertex form will solve both 2 and 3:

3x^2 - 6x + 13 = 3(x^2 - 2x) + 13 = 3(x^2 - 2x + 1) + 13 + 3 = 3(x - 1)^2 + 16.
where the vertex (h,k) is (1, 16).