This is the graph of a parabola.
You can determine the type of conic section from the equation of the form:
Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0
If A=0 or C=0, but not both, then it's a parabola
If A = C, then it's a circle
If A and C have the same sign and A not equal C, then it's an ellipse
If A and C have opposite signs, then it's a hyperbola.