Step 1 :The given equation is \(y=x^{2}+5\).
Step 2 :This equation is in the form of a quadratic equation, which is \(y=ax^{2}+bx+c\), where \(a\neq0\).
Step 3 :Here, \(a=1\), \(b=0\), and \(c=5\).
Step 4 :Therefore, the given equation is a quadratic relation.
Step 5 :Final Answer: The given equation is a \(\boxed{\text{quadratic}}\) relation.