Question

answer attempt 2 out of 4 + additional solution - no solution x = submit answer

Explanation:

Step1: Identify the vertex's x - coordinate

The graph is a parabola opening downward. The vertex of a parabola is the highest (or lowest) point. For a parabola, the axis of symmetry passes through the vertex, and the x - coordinate of the vertex can be found by looking at the horizontal position of the vertex. From the graph, we can see that the vertex is at \(x=-4\) (by counting the grid lines: the vertex is 4 units to the left of the origin on the x - axis).

Step2: Determine the solution context (if finding vertex x - value)

If the problem is asking for the x - coordinate of the vertex (or the axis of symmetry), then we use the visual inspection of the graph. The vertex of the parabola is at \(x = - 4\).

Answer:

\(x=-4\)