https://file.aiquickdraw.com/mathbot/file/17284957543949qqops0u.jpg

The graph in the image is a parabola, which is part of a quadratic equation. To answer the question of identifying the **vertex** and **y-intercept**:

1. **Vertex**: The vertex is the highest or lowest point on the parabola. In this case, the parabola opens downward, meaning the vertex is the maximum point. From the graph, the vertex appears to be at \( (0, -4) \).
   
2. **Y-intercept**: The y-intercept is the point where the graph crosses the y-axis. From the graph, we can see the y-intercept is at \( (0, -4) \), which is the same as the vertex in this case.

### Final Answer:
- Vertex: \( (0, -4) \)
- Y-intercept: \( (0, -4) \)

Would you like more details on this, or do you have any other questions?

Here are 5 related questions to expand on this topic:
1. What is the equation of a parabola if you know its vertex and y-intercept?
2. How can you find the axis of symmetry for this parabola?
3. How would the graph change if the parabola opened upwards instead?
4. What are the effects of changing the coefficients of a quadratic equation on the shape of the parabola?
5. How can you determine the roots (x-intercepts) of a parabola?

**Tip:** The vertex form of a quadratic equation is very useful to quickly identify the vertex of a parabola.

Identify the vertex and y-intercept of the parabola from the graph.

Learn how to identify the vertex and y-intercept from a graph of a quadratic equation. This guide explains key concepts and uses the vertex form of a quadratic equation, suitable for students in Grades 8-10.

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