Question

identify the attributes of this gra
vertex:
directrix
x - intercept(s)

Explanation:

Step1: Identify vertex

The vertex of a parabola is the point where the parabola changes direction. From the graph, the vertex is at the point $(- 3,-2)$.

Step2: Identify directrix

The directrix of a parabola is a horizontal line for a parabola opening up or down. The distance from the vertex to the directrix is the same as the distance from the vertex to the focus. From the graph, the directrix is the line $y=-4$.

Step3: Identify x - intercepts

The x - intercepts are the points where the graph crosses the x - axis. By looking at the graph, the x - intercepts are approximately $x=-6$ and $x = 0$.

Answer:

Vertex: $(-3,-2)$
Directrix: $y = - 4$
x - intercepts: $x\approx - 6,x\approx0$