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QUESTION IMAGE

using the graph, determine the coordinates of the zeros of the parabola.

Question

using the graph, determine the coordinates of the zeros of the parabola.

Explanation:

Step1: Recall zero definition

Zeros of a parabola (quadratic function) are the x - intercepts, i.e., points where \(y = 0\) (the parabola crosses the x - axis).

Step2: Identify intersection points

Looking at the graph, the parabola intersects the x - axis at two distinct points. Let's assume from the graph (after proper reading of the axes) that the x - intercepts are at \((- 6,0)\) and \((-1,0)\) (we analyze the x - axis markings: if we look at the x - axis, the left intersection is at \(x=-6\) (since moving from the origin to the left, we can see the marking for \(x = - 6\)) and the right intersection is at \(x=-1\) (closer to the origin on the left side of the y - axis). So the zeros (x - intercepts) have coordinates \((-6,0)\) and \((-1,0)\). Also, the answer type should be "Two points" as there are two x - intercepts (zeros).

Answer:

The coordinates of the zeros of the parabola are \((-6,0)\) and \((-1,0)\), and the answer type is Two points.