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.