Question

A rock is launched from a launch site. Its distance from the ground,h, in hundreds of feet,t, seconds after it is launched
The graph has points (0,5),(2,13),(4,0)
One of the roots of the graph is ______. It represents _____.
The y- intercept for the function is _____. It represents _____.
Options
Color of rocket
The time when the rocket lands
1.8
10
The starting height of the rocket
2
The speed of the rocket
3.8
5

Answer 1

Let's analyze the information provided:

1. **Roots of the graph**: A root of the graph is a point where the graph intersects the x-axis (where \(h = 0\)). The given points are (0, 5), (2, 13), and (4, 0). The point (4, 0) indicates that the distance from the ground is zero after 4 seconds. Therefore, one of the roots of the graph is **4**. It represents **the time when the rocket lands**.

2. **Y-intercept**: The y-intercept is the point where the graph intersects the y-axis (when \(t = 0\)). The point (0, 5) indicates that when \(t = 0\), the height \(h\) is 5. Therefore, the y-intercept for the function is **5**. It represents **the starting height of the rocket**.

So, to sum up:
- One of the roots of the graph is **4**. It represents **the time when the rocket lands**.
- The y-intercept for the function is **5**. It represents **the starting height of the rocket**.