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QUESTION IMAGE

mark the vertex of the parabola.

Question

mark the vertex of the parabola.

Explanation:

Step1: Recall the definition of the vertex of a parabola

The vertex of a parabola is the point where the parabola changes direction. For a parabola in the form \(y = ax^{2}+bx + c\), if \(a>0\) (opens upwards), the vertex is the minimum point.

Step2: Locate the minimum point on the graph

Looking at the given parabola (which opens upwards as it has a "U - shape" and \(y\) - values increase as we move away from the lowest point), we find the point with the lowest \(y\) - coordinate.
By observing the grid, the \(x\) - coordinate of the vertex is \(2\) and the \(y\) - coordinate is \(- 4\).

Answer:

The vertex of the parabola is the point \((2,-4)\)