Question

harper throws a ball up in the air. the graph below shows the height of the ball h in meters after t seconds.

answer attempt 1 out of 2

the x - coordinate (or t - coordinate) of the vertex is
and represents

the y - coordinate (or h - coordinate) of the vertex is
and represents

Explanation:

Step1: Identify the vertex coordinates

The vertex of the parabola is given as \((1.8, 11.664)\). The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is the first value in the ordered pair.
So, the \(x\)-coordinate (t - coordinate) of the vertex is \(1.8\). This represents the time (in seconds) when the ball reaches its maximum height.

Step2: Identify the y - coordinate of the vertex

The \(y\)-coordinate (or \(h\)-coordinate) of the vertex is the second value in the ordered pair \((1.8, 11.664)\).
So, the \(y\)-coordinate (h - coordinate) of the vertex is \(11.664\). This represents the maximum height (in meters) the ball reaches.

Answer:

The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is \(\boldsymbol{1.8}\) and represents the time (in seconds) when the ball reaches its maximum height.
The \(y\)-coordinate (or \(h\)-coordinate) of the vertex is \(\boldsymbol{11.664}\) and represents the maximum height (in meters) the ball reaches.