A sports analyst graphed the trajectory of a soccer ball that was kicked by a goalkeeper. In the graph, x is the ball’s distance from the goalpost, and y is the height of the ball in meters. What is the maximum height that the kicked ball reached? (1 point)
The maximum height of the kicked ball was ? meters.
To determine the maximum height that the kicked ball reached, we need to look at the vertex of the graph, which represents the highest point of the ball's trajectory.
Let's assume the vertex of the graph is at the point (a, b) where:
a = x-coordinate of the vertex (distance from the goalpost)
b = y-coordinate of the vertex (height of the ball)
Therefore, the maximum height that the kicked ball reached is the y-coordinate of the vertex, which is b meters.
Hence, the maximum height of the kicked ball was b meters.