Given information:
- Vertex of the parabola: (2,-3)
- Focus of the parabola: (0,5)

Understanding the parabola:
A parabola is a U-shaped curve that is symmetric about its vertex. It is defined by its vertex, focus, and directrix. The vertex is the point where the parabola reaches its minimum or maximum value, and the focus is a fixed point inside the parabola.

Determining the equation:
To find the equation of the parabola, we can use the standard form for a parabola equation, which is as follows:
(y - k) = 4a(x - h)^2

Where:
- (h,k) is the vertex of the parabola
- (h + a, k) is the focus of the parabola

Finding the equation:
Using the given vertex (2,-3) and focus (0,5), we can substitute these values into the standard form equation and solve for the value of 'a'.

Substituting the vertex coordinates:
(-3 - k) = 4a(2 - h)^2

Substituting the focus coordinates:
(5 - k) = 4a(0 - h + a)^2

Solving for 'a':
To solve for 'a', we can equate the two equations and eliminate 'k':
-3 - k = 5 - k
-3 = 5
This equation is not possible, which means there is no solution for 'a'. Therefore, the given vertex (2,-3) and focus (0,5) are not valid and cannot form a parabola.

Conclusion:
Based on the given information, it is not possible to find the equation of a parabola with a vertex at (2,-3) and a focus at (0,5) since the equations cannot be solved.

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