To find the vertex of the quadratic function shown in the graph, we need to identify the point where the graph reaches its minimum, as this is an upward-opening parabola.

Looking at the graph, we observe that the lowest point (the vertex) occurs at:

• $x = -2$
• $y = -4$

Thus, the vertex of the graph is: $(-2, -4)$

Would you like further details on how to identify the vertex or have any questions?

Here are some related questions that could deepen your understanding:

1. What is the axis of symmetry for this quadratic function?
2. How would you find the vertex if you only had the equation of the parabola?
3. What does the vertex represent in terms of the function's maximum or minimum value?
4. How can you determine if a parabola opens upward or downward?
5. How can transformations affect the position of the vertex?

Tip: For any quadratic function $y = ax^2 + bx + c$, the vertex can be found at $x = -\frac{b}{2a}$.