Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
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The parabola
Y=X^2 is a function for it forms a parabola on a graph.
No. It can also be a circle, ellipse or hyperbola.
It looks like a parabola which looks like a U shape.
y = ax2 + c is a parabola, c is the y intercept of the parabola. It also happens to be the max/min of the function depending if a is positive or negative.