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, where \(y = 0\). So we look for points where the graph crosses the x - axis (\(y = 0\)).

Step2: Identify intersection points

From the graph, we can see that the parabola intersects the x - axis at two points. One point is at \(x=-6\) (since when \(x = - 6\), \(y = 0\)) and the other is at \(x=-2\) (when \(x=-2\), \(y = 0\)). In coordinate form, the coordinates of the zeros are \((-6,0)\) and \((-2,0)\).

Answer:

\((-6,0)\) and \((-2,0)\)