g(x) = − (x + 6)2−2

Question

Part A: Identify the vertex

(1 point)
The vertex is the ordered pair:

Answer 1

To identify the vertex of the quadratic function given by \( g(x) = - (x + 6)^2 - 2 \), we can use the standard form of a quadratic function, which is \( g(x) = a(x - h)^2 + k \). The vertex of the function is the point \((h, k)\).

In the expression \( g(x) = - (x + 6)^2 - 2 \):

• The term \(-(x + 6)^2\) indicates that the graph opens downwards (because of the negative sign), and the expression \( (x + 6) \) can be rewritten as \( (x - (-6)) \), meaning \( h = -6 \).
• The constant term \(-2\) represents \( k \).

Thus, the vertex is \((-6, -2)\).

So, the vertex is the ordered pair: \((-6, -2)\).