Answer
parabola
Work Step by Step
Given: $y=x^{2}+2x$
By completing the square, we get
$y+1=x^{2}+2x+1$
$y+1=(x+1)^{2}$
$y=(x+1)^{2}-1$
This is a parabola in the standard form as:
$y=a(x-h)^{2}+k$
Here, $(h,k)=(-1,-1)$
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 1 unit to the left and 1 unit downward.
