Answer:
maximum value : y = - 1 at (2, -1)
No local minimum
Explanation:
The function y=−x^2+4x−5. is a downward opening parabola.
The local maximum is at the vertex
y = - (xx - 4x ) - 5
y = - (xx - 4x +4 - 4) - 5
y = - (xx - 4x + 4) + 4 - 5
y = -(x - 2)^2 - 1
vertex at (2, -1)