Find Intervals of Decrease: Analyzing y = -(x+7)² - 5

To identify the intervals of decrease for the function $y = -(x+7)^2 - 5$, we'll analyze its properties:

This function is in the vertex form $y = a(x-h)^2 + k$, where $a = -1$, $h = -7$, and $k = -5$.

• The vertex of this parabola is at $(-7, -5)$.
• The coefficient $a = -1$ tells us that the parabola opens downwards.

For a downward-opening parabola, the function decreases to the right of the vertex. Therefore, the interval where the function is decreasing is when $x > -7$.

Thus, the interval of decrease for the function is $x > -7$.

Therefore, the correct choice for the interval of decrease is $x > -7$.