lydia throws a ball up in the air. the graph ...

# Explanation: ## Step1: Identify vertex from graph The vertex of the parabola - shaped graph is the point \((1,4.9)\). The \(t\) - coordinate (x - coordinate) of the vertex is the value of \(t\) at the maximum height of the ball. ## Step2: Determine \(t\) - coordinate meaning The \(t\) - coordinate of the vertex is \(1\), and it represents the time (in seconds) when the ball reaches its maximum height. ## Step3: Determine \(h\) - coordinate meaning The \(h\) - coordinate (y - coordinate) of the vertex is \(4.9\), and it represents the maximum height (in meters) that the ball reaches. # Answer: The x - coordinate (or t - coordinate) of the vertex is \(1\) and represents the time when the ball reaches its maximum height. The y - coordinate (or h - coordinate) of the vertex is \(4.9\) and represents the maximum height of the ball.