Calculate the vertex of the parabola = − 4 + 3.

Solution:
1. The formula for the vertex (h, k) of a parabola y = ax^2 + bx + c is h = -\frac{b}{2a} and k = f(h).

2. Given the equation: y = -x^2 + 4x + 3, where:
- a = -1
- b = 4
- c = 3

3. Calculate the x-coordinate of the vertex:
- h = -\frac{4}{2(-1)} = 2

4. Calculate the y-coordinate of the vertex by substituting h = 2 back into the equation:
- y = -(2)^2 + 4(2) + 3
- y = -4 + 8 + 3
- y = 7

5. The vertex of the parabola is (2, 7).