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Write the domain and range of the graph below. 

The graph shows a parabola that opens upwards, indicating it is the graph of a quadratic function. From the visual, the following observations can be made:

### Domain:
The domain of a parabola that opens upwards (or downwards) is always all real numbers because there are no restrictions on the \( x \)-values for which the function is defined. Therefore, the domain is:
\[
\boxed{(-\infty, \infty)}
\]

### Range:
The range of the function is determined by the lowest point on the parabola, known as the vertex. In this graph, the vertex appears to be at \( y = 1 \), and since the parabola opens upwards, the \( y \)-values will be greater than or equal to 1. Thus, the range is:
\[
\boxed{[1, \infty)}
\]

Would you like a more detailed explanation or have any questions?

Here are 5 related questions to expand this topic:
1. What is the equation of this parabola based on its vertex and direction?
2. How can you find the axis of symmetry of a parabola?
3. How would the range change if the parabola opened downwards?
4. Can the vertex form of a quadratic equation help determine the graph's shape?
5. How does the graph of a parabola shift when the vertex is moved?

**Tip**: When analyzing parabolas, always look for the vertex and the direction it opens to determine the range accurately.

Write the domain and range of the graph below.

Understand how to find the domain and range of a quadratic graph by analyzing its vertex and direction. This example explores a parabola with a vertex at y=1, focusing on its algebraic properties and graphing techniques. Suitable for Grades 8-10.

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