Find Increasing Intervals for the Quadratic Function: y = -(x+7)²

The function given is $y = -(x+7)^2$, which is a quadratic function in vertex form. The structural form of this function is $y = a(x-h)^2 + k$, where $a = -1$, $h = -7$, and $k = 0$.

The vertex of the parabola is at $(-7, 0)$. Since $a = -1$, the parabola opens downwards. For downward-opening parabolas, the function is increasing to the left of the vertex and decreasing to the right of the vertex.

Therefore, the function is increasing for $x < -7$.

Thus, the solution to the problem is: $x < -7$.