1. **State the problem:** Find the domain and range of the function $$y = (x + 3)^2 - 5$$. 2. **Recall the formula and properties:** This is a quadratic function in vertex form $$y = (x - h)^2 + k$$ where the vertex is at $(-3, -5)$. 3. **Domain:** Quadratic functions are defined for all real numbers, so the domain is $$(-\infty, \infty)$$. 4. **Range:** Since the parabola opens upward (coefficient of squared term is positive), the minimum value is at the vertex's y-coordinate, which is $$-5$$. 5. Therefore, the range is $$[-5, \infty)$$. 6. **Answer:** The correct choice is C. **Summary:** - Domain: $$(-\infty, \infty)$$ - Range: $$[-5, \infty)$$