Find the Ascending Region of y=-(x-6)²: Quadratic Function Analysis

To solve this problem, follow these steps:

The function given is $y = -(x-6)^2$. This indicates that the parabola opens downwards because of the negative sign.

Step 1: Identify the vertex of the parabola:

The vertex form of a parabola is $y = a(x-h)^2 + k$. Here, the vertex is at $(6, 0)$.

Step 2: Determine the interval where the function is increasing:

Since the parabola opens downwards, the function is increasing as it approaches the vertex from the left.

Thus, the function is increasing for $x < 6$.

Therefore, the correct answer is $x < 6$.