Algebra-1

To find the vertex of the quadratic function f(x) = x² - 12x + 35, we can use the vertex formula. The vertex formula states that for a quadratic function in the form f(x) = ax² + bx + c, the x-coordinate of the vertex is given by x = -b / (2a).

In this case, a = 1, b = -12, and c = 35. Plugging these values into the formula, we get:

x = -(-12) / (2 * 1)
= 12 / 2
= 6