Answer
Parabola

Work Step by Step
Given: $y=x^{2}+2$
$y=a(x-h)^{2}+k$
Here, $(h,k)=(0,2)$
which is the standard form of the equation of a parabola.
The graph will be just like a graph of $y=x^{2}$ that is shifted 2 units upward.

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