look at this graph:\nwhat is the y-intercept?

Answer

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 the intersection point

Looking at the given graph, we can see that the graph intersects the y - axis at the point where (x = 0) and (y=6) (by observing the grid, the vertex is on the y - axis at (y = 6) approximately, but from the graph, the y - intercept is at ((0,6))? Wait, no, looking at the graph again, the peak is at y = 6? Wait, no, the grid: the y - axis has marks at 0,5,10. The graph's vertex is at (0,6)? Wait, no, maybe I misread. Wait, the graph is a parabola opening downward, with vertex at (0,6)? Wait, no, the y - axis: the point where x = 0, the y - coordinate. Looking at the graph, the intersection with y - axis is at (0,6)? Wait, no, maybe the graph's y - intercept is at (0,6). Wait, no, let's check again. The graph crosses the y - axis at (0,6)? Wait, the grid lines: each square is 1 unit. So the vertex is at (0,6), so the y - intercept is 6. Wait, but maybe I made a mistake. Wait, the graph: when x = 0, what's y? The graph's vertex is on the y - axis, and from the grid, the y - coordinate of the vertex is 6? Wait, no, the y - axis has 0,5,10. So between 5 and 10? Wait, no, the graph's vertex is at (0,6)? Wait, maybe the correct y - intercept is 6. Wait, no, let's see: the y - intercept is the value of y when x = 0. From the graph, the point (0,6) is on the graph (the vertex), so the y - intercept is 6. Wait, but maybe the graph is drawn with the vertex at (0,6). So the y - intercept is 6.

Wait, maybe I misread. Let me check again. The graph: the y - axis, x = 0. The graph intersects the y - axis at (0,6). So the y - intercept is 6.

Answer:

The y - intercept is 6 (or the point ((0,6)), but since we are asked for the y - intercept, the value of y when x = 0 is 6).