A curve. It would be called a parabolic curve.
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inverse linear or quadratic
A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.
It is the apex of the parabola.
No, a parabola does not have to have an x-intercept. ex. -2(x-2)^2 - 4 is a parabola that has no x-intercept.
A vertex is the highest or lowest point in a parabola.