Question

lydia throws a ball up in the air. the graph below shows the height of the ball h in meters after t seconds.
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 \((1, 4.9)\). The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is the first value in the ordered pair.
So, the \(t\)-coordinate of the vertex is \(1\). This represents the time (in seconds) when the ball reaches its maximum height.

Step2: Identify y-coordinate of vertex

The \(y\)-coordinate (or \(h\)-coordinate) of the vertex is the second value in the ordered pair \((1, 4.9)\).
So, the \(h\)-coordinate of the vertex is \(4.9\). This represents the maximum height (in meters) the ball reaches.

Answer:

The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is \(\boldsymbol{1}\) and represents the time (in seconds) when the ball reaches its maximum height.
The \(y\)-coordinate (or \(h\)-coordinate) of the vertex is \(\boldsymbol{4.9}\) and represents the maximum height (in meters) the ball reaches.