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Looking at the graph of the parabola provided, we can determine its domain and range.

### Domain:
The domain of a function represents all possible values of \( x \). Since this is a parabola that opens upward and continues indefinitely in both directions horizontally, the domain is all real numbers. Mathematically, we write this as:
\[
\text{Domain} = (-\infty, \infty)
\]

### Range:
The range of a function represents all possible values of \( y \). In the case of this parabola, the lowest point occurs at \( y = -2 \) (the vertex), and the graph extends upward without bound. Therefore, the range is all values of \( y \) greater than or equal to -2:
\[
\text{Range} = [-2, \infty)
\]

Would you like a more detailed explanation or further clarification?

Here are 5 related questions for deeper understanding:
1. What is the general form of the equation of a parabola?
2. How can you determine the vertex of a parabola from its equation?
3. What other transformations can affect the domain and range of a parabola?
4. How do you find the axis of symmetry in a parabola?
5. What role does the leading coefficient of the quadratic function play in determining the direction of the parabola?

**Tip:** Always look for the lowest or highest point (the vertex) to determine the range of a quadratic function.

Determine the domain and range of the given function.

Learn how to determine the domain and range of a quadratic function by analyzing its graph. This problem helps students understand core concepts related to parabolas, domain, and range. Suitable for students in Grades 8-10.

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