To identify the vertex of the quadratic function given in vertex form, we can use the general format of the vertex form of a parabola, which is:
\[ y = a(x - h)^2 + k \]
where \((h, k)\) is the vertex of the parabola.
In your equation:
\[ y = -10(x + 15)^2 - 18 \]
we can rewrite it slightly to match the vertex form:
\[ y = -10(x - (-15))^2 - 18 \]
From this, we can see that:
- \(h = -15\)
- \(k = -18\)
Therefore, the vertex of the parabola is:
\[ (-15, -18) \]
So the vertex is \((-15, -18)\).