To determine the vertex of the parabola given by the equation [tex]\( y = -(x - 2)^2 - 1 \)[/tex], we can use the form of a parabola in vertex form, which is:
[tex]\[ y = a(x - h)^2 + k \][/tex]
In this form, [tex]\((h, k)\)[/tex] represents the vertex of the parabola. Comparing the given equation to the standard vertex form, we can identify:
- [tex]\( a = -1 \)[/tex]
- [tex]\( h = 2 \)[/tex]
- [tex]\( k = -1 \)[/tex]
Thus, the vertex of the parabola is [tex]\((h, k) = (2, -1)\)[/tex].
Therefore, the correct answer is:
B. [tex]\((2, -1)\)[/tex]
