Question

using the graph, determine the coordinates of the x-intercepts of the parabola.

Explanation:

Step1: Recall x-intercept definition

x-intercepts are points where the graph crosses the x - axis, so \( y = 0 \). We look at the coordinates of the intersection points of the parabola and the x - axis.

Step2: Identify intersection points

From the graph, we observe that the parabola intersects the x - axis at two points. By looking at the grid, one intersection point is at \( x=-8 \) (since when \( x = - 8 \), \( y = 0 \)), so the coordinate is \( (-8,0) \). The other intersection point is at \( x = - 1 \) (when \( x=-1 \), \( y = 0 \)), so the coordinate is \( (-1,0) \).

Answer:

The x - intercepts of the parabola are \((-8,0)\) and \((-1,0)\)