Question

height (in feet)
(0, 168)
(2.75, 289)
(7, 0)
time (in seconds)
answer attempt 2 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 vertex coordinates

The vertex of the parabola is given as \((2.75, 289)\) from the graph.

Step2: Determine x - coordinate meaning

The x - coordinate (t - coordinate) is \(2.75\), which represents the time (in seconds) when the object reaches its maximum height.

Step3: Determine y - coordinate meaning

The y - coordinate (h - coordinate) is \(289\), which represents the maximum height (in feet) the object reaches.

Answer:

The x - coordinate (or t - coordinate) of the vertex is \(2.75\) and represents the time (in seconds) at which the maximum height is reached.
The y - coordinate (or h - coordinate) of the vertex is \(289\) and represents the maximum height (in feet) reached.