Question

look at this graph:
what is the y-intercept?

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a graph is the point where the graph intersects the y - axis. At this point, the x - coordinate is 0.

Step2: Identify intersection with y - axis

Looking at the given graph, we can see that the graph intersects the y - axis at the point where \(x = 0\). From the graph, when \(x=0\), the \(y\) - value of the intersection point is 0? Wait, no, wait. Wait, looking at the graph again, the curve crosses the y - axis (where \(x = 0\)) at \(y = 0\)? Wait, no, let's check the grid. Wait, the y - axis is at \(x = 0\). The graph passes through the origin? Wait, no, maybe I misread. Wait, the graph: let's see the coordinates. The y - axis is vertical, x = 0. The graph intersects the y - axis at (0,0)? Wait, no, wait the graph: when x = 0, the point is on the y - axis. Looking at the graph, the curve crosses the y - axis at (0,0). Wait, but let's confirm. The y - intercept is the value of \(y\) when \(x = 0\), so we find the point on the graph with \(x=0\), and its \(y\) - coordinate is the y - intercept. From the graph, when \(x = 0\), the graph passes through (0,0). Wait, but maybe I made a mistake. Wait, the graph: let's see the grid. The y - axis is at x = 0. The curve crosses the y - axis at (0,0). So the y - intercept is 0? Wait, no, wait the graph: maybe I misread. Wait, the graph has a point at (0,0)? Let me check again. The graph is a parabola opening down? No, opening up? Wait, no, the arrows are pointing down, so it's a parabola opening downward? Wait, no, the arrows at the ends are pointing down, so the parabola opens downward. Wait, but the x - intercepts: one at x=-4 (approx) and x = 0? Wait, no, the graph crosses the x - axis at x=-4 (approx) and x = 0? Wait, no, the graph crosses the y - axis at x = 0, and at that point, y = 0. So the y - intercept is the y - value when x = 0, which is 0. Wait, but maybe I made a mistake. Wait, let's think again. The y - intercept is the point (0, y) where the graph meets the y - axis. So we look for x = 0, and find the corresponding y. From the graph, when x = 0, the graph is at y = 0. So the y - intercept is 0. Wait, but maybe the graph is crossing the y - axis at (0,0). So the y - intercept is 0.

Answer:

The y - intercept is \(0\) (or the point \((0,0)\)).