For the function f (x) = - 2 (x + 3) 2 - 1, identify the vertex, domain, and range

The vertex is (3,-1), the domain is all real numbers, and the range is y2-1

The vertex is (3,-1), the domain is all real numbers, and the range isys-t.

O The vertex is (-3, - 1), the domain is all real numbers, and the range is ys-1

The vertex is (-3, - 1), the domain is all real numbers and the range isy 2-1

The vertex is (-3, - 1), the domain is all real numbers and the range is y ≤ - 1.

Step-by-step explanation:

The general vertex form is f (x) = a (x - b) ^2 + c where the vertex is (b, c).

So for f (x) = - 2 (x + 3) ^2 - 1 the vertex is (-3, - 1).

Because of the negative coefficient of x^2 (-2) the parabola opens downwards and the maximum value is - 1. So the range is y ≤ - 1.

The domain is all real numbers.