Answer: Even
Explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)