Question

find the vertex.
f(x) = -3(x - 1)^2 - 6
(?, )

Explanation:

Step1: Recall vertex form of parabola

The vertex form of a parabola is \( f(x) = a(x - h)^2 + k \), where \((h, k)\) is the vertex.

Step2: Identify \( h \) and \( k \) from given function

For the function \( f(x) = -3(x - 1)^2 - 6 \), comparing with \( f(x) = a(x - h)^2 + k \), we have \( h = 1 \) and \( k = -6 \).

Answer:

\((1, -6)\)