The equation you provided is:

$y = (x + 2)^2 + 1$

This is in the vertex form of a quadratic equation, which is generally written as:

$y = a(x - h)^2 + k$

where $(h, k)$ is the vertex of the parabola.

In your equation, comparing it to the general form:

• $h = -2$
• $k = 1$

Therefore, the vertex of the parabola is:

$\boxed{(-2, 1)}$

Would you like more details on how this form works or have any other questions?

Related Questions:

1. How do you convert a standard quadratic equation into vertex form?
2. What is the significance of the vertex in a quadratic graph?
3. How do you determine if the vertex represents a maximum or a minimum point?
4. What effect does changing the value of $a$ in $y = a(x - h)^2 + k$ have on the graph?
5. How would you find the axis of symmetry for a quadratic equation?

Tip: The vertex form of a quadratic equation is useful for quickly identifying the maximum or minimum point on the graph!