Part 1: Identifying Features from the Graph

Use the following graph to answer the questions:

1. Identify the features:
   A. Vertex:
   B. Y-intercept:
   C. X-intercepts:
   D. Maximum or Minimum:

Part 2: Word Problem

A rocket is launched from the ground, and its height (in meters) as a function of the horizontal distance (in meters) from the launch point is represented by the graph. The height increases until it reaches a peak, after which the rocket falls back to the ground.

Using the graph provided:

• Identify the maximum height the rocket reaches and how far it travels horizontally at that point.
• Determine the initial height of the rocket and the total horizontal distance it travels before hitting the ground.

Let me know if you'd like any help solving it!

Related Questions:

1. How do you determine the vertex of a quadratic graph?
2. What is the significance of the X-intercepts in real-world problems?
3. How does the Y-intercept relate to the starting position of an object in motion?
4. What type of equation can represent this graph?
5. How would the graph change if the rocket launched higher initially?

Tip: For a quadratic graph, the vertex represents the maximum or minimum point depending on the graph's shape.