A rock is launched from a launch site. Its distance from the ground,h, in hundreds of feet,t, seconds after it is launched

Question

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.