Here is the graph of the parabola $y = (x + 4)^2 + 3$:

• The vertex of the parabola is at $(-4, 3)$, marked by the red point.
• The axis of symmetry is the vertical line $x = -4$, shown as the dashed line.
• The green points $(-3, 4)$ and $(-5, 4)$ are additional points that demonstrate the symmetry of the parabola around its axis.

The graph shows that the parabola opens upward, as expected from the positive coefficient $a = 1$.

Would you like further details or have any questions?

Related Questions:

1. How do we determine the width of a parabola?
2. What happens to the graph of a parabola if we change the sign of the coefficient $a$?
3. How can we find the x-intercepts of a parabola?
4. What is the effect of the constants $h$ and $k$ on the graph of a parabola?
5. How do you graph a parabola if given in standard form?

Tip: The vertex form of a quadratic equation makes it easy to identify the vertex and axis of symmetry, which simplifies the process of graphing.