Question

using the graph, determine the coordinates of the zeros of the parabola.
answer attempt 3 out of 3
answer type: one point
one point: (\boxed{\quad},\boxed{\quad})

Explanation:

Step1: Identify zero definition

Zeros of a parabola are points where \( y = 0 \) (intersection with x - axis).

Step2: Analyze the graph

From the graph, the parabola intersects the x - axis at two points? Wait, no, wait. Wait, looking at the graph, wait, maybe I misread. Wait, no, the user's answer type is one point? Wait, no, maybe the graph is symmetric? Wait, no, let's check the x - axis intersections. Wait, the parabola crosses the x - axis at \( x=-7 \) and \( x = - 3 \)? Wait, no, wait the grid. Wait, the x - axis: each grid line is 1 unit. Let's see, the left intersection: when x=-7, y = 0? Wait, no, wait the graph: the parabola comes from the bottom left, goes up, crosses the x - axis at x=-7 (y=0), then peaks, then crosses the x - axis again at x=-3 (y=0)? Wait, but the answer type is one point? Wait, maybe a mistake? Wait, no, maybe the graph is such that it's a double root? No, the graph crosses the x - axis at two points. Wait, maybe the user made a mistake in the answer type, but according to the problem, we need to find the zeros. Wait, zeros are the x - intercepts, so their coordinates are (x, 0) where x is the x - value. Wait, looking at the graph, the two x - intercepts are at (-7, 0) and (-3, 0). But the answer type is one point? Maybe it's a typo, but let's check again. Wait, maybe the graph is symmetric about x=-5, and the zeros are at (-7, 0) and (-3, 0). But if we have to choose one? Wait, no, maybe I misread. Wait, the problem says "the zeros" (plural), but the answer type is one point. Maybe a mistake, but let's proceed. Wait, maybe the graph is actually touching the x - axis at one point? No, the graph crosses the x - axis at two points. Wait, perhaps the user intended two points, but the answer type is one. Alternatively, maybe I made a mistake. Wait, let's look at the x - axis: the parabola intersects the x - axis at x=-7 (y=0) and x=-3 (y=0). But if we have to put one point, maybe (-5, 0)? No, that's the vertex. Wait, no, zeros are where y=0. Wait, maybe the problem has a mistake, but according to the graph, the x - intercepts are at (-7, 0) and (-3, 0). But since the answer type is one point, maybe it's a mistake, but let's assume that maybe the graph is such that one of them is the answer. Wait, maybe the left one: (-7, 0) or the right one (-3, 0). Let's check the graph again. The parabola crosses the x - axis at x=-7 (y=0) and x=-3 (y=0). So if we have to choose one, maybe (-7, 0) or (-3, 0). But let's confirm.

Answer:

(-7, 0) (or (-3, 0), but based on the graph, the two zeros are (-7, 0) and (-3, 0). If we have to pick one as per the answer type, maybe (-7, 0) or (-3, 0). Here we choose (-7, 0))