What Is the Geometric Representation of |z-i|=|z+1| in the Complex Plane?

[lom]

|z-i|=|z+1|

i know that |z-i| is a circle
shifted by i
|z-1| means center shifted by 1

but its not telling the full picture

 

[Mark44]

Please don't double-post.
Edit: This is actually not a duplicate, but it would be better if you came up with different titles for different problems.

|z-i|=|z+1|

i know that |z-i| is a circle
shifted by i

No, |z - i| represents the distance from an arbitrary complex number z to i. The value is a real number. It is not a circle.

|z-1| means center shifted by 1

In your original equation, the expression is |z - 1|. This represents the distance from some complex number z to 1.

but its not telling the full picture

Think about what it means that the distance from z to i equals the distance from the same z to 1.