Question

hassan kicks a football. the graph below shows the height of the football h in meters after t second

answer attempt 1 out of 5
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

From the graph, the vertex of the parabola (the highest point) is given as \((1, 4.9)\). The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is the first value in the ordered pair, and the \(y\)-coordinate (or \(h\)-coordinate) is the second value.

Step2: Determine the t - coordinate of the vertex

The \(t\)-coordinate (x - coordinate of the vertex) is \(1\). This represents the time (in seconds) when the football reaches its maximum height.

Step3: Determine the h - coordinate of the vertex

The \(h\)-coordinate (y - coordinate of the vertex) is \(4.9\). This represents the maximum height (in meters) that the football reaches.

Answer:

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