Final answer:
The equation of a parabola that opens upwards and has a vertex at (-4,5) is y = a(x + 4)² + 5.
Step-by-step explanation:
The equation of a parabola that opens upwards and has a vertex at (-4,5) can be represented in the form of y = a(x − h)² + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-4,5), so the equation would be y = a(x + 4)² + 5.