mark the vertex of the parabola.
mark the vertex of the parabola.
Answer
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) (a quadratic function), if (a>0) (the parabola opens upwards), the vertex is the minimum point. If (a < 0) (the parabola opens downwards), the vertex is the maximum point.
Step2: Locate the minimum point on the given graph
Looking at the graph of the parabola (which opens upwards, so we are looking for the minimum point). By observing the grid - based graph, we can see that the (x) - coordinate of the vertex is (1) and the (y) - coordinate of the vertex is (-4).
Answer:
The vertex of the parabola is the point ((1,-4))