Question

kadeesha throws a ball up in the air. the graph below shows the height of the ball 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 how long the ball has been in the air
the balls height

Explanation:

Step1: Identify vertex coordinates

The vertex of the parabola is given as \((0.75, 9)\). So, the x - coordinate (t - coordinate) of the vertex is the x - value of the vertex point, which is \(0.75\). This x - coordinate represents the time (in seconds) when the ball reaches its maximum height because in a projectile motion graph (height vs. time), the vertex of the parabola (opening downwards) gives the time at which the maximum height is achieved.

Step2: Identify y - coordinate of vertex

The y - coordinate (h - coordinate) of the vertex is the y - value of the vertex point, which is \(9\). This y - coordinate represents the maximum height (in feet) that the ball reaches because the y - axis in the graph represents the height of the ball.

Answer:

The x - coordinate (or t - coordinate) of the vertex is \(0.75\) and represents how long it takes the ball to reach its maximum height (or the time at which the ball is at maximum height).
The y - coordinate (or h - coordinate) of the vertex is \(9\) and represents the maximum height the ball reaches (in feet).