Question

natalie launches a toy rocket from a platform. the graph below shows the height of the rocket h in feet 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 vertex coordinates

The vertex of the parabola is given as the point \((2, 324)\) from the graph. The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is the first value in the ordered pair.
So, the \(t\)-coordinate is \(2\). This represents the time (in seconds) when the rocket 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 \((2, 324)\).
So, the \(h\)-coordinate is \(324\). This represents the maximum height (in feet) the rocket reaches.

Answer:

The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is \(\boldsymbol{2}\) and represents the time (in seconds) when the rocket reaches its maximum height.
The \(y\)-coordinate (or \(h\)-coordinate) of the vertex is \(\boldsymbol{324}\) and represents the maximum height (in feet) the rocket reaches.