positive.
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If a is greater than zero then the parabola opens upward.
If the value of the variable is negative then the parabola opens downwards and when the value of variable is positive the parabola opens upward.
Their noses are both at the origin, and they both open upward, but y=4x2 is a much skinnier parabola.
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
A parabola can open left, down, right, or left on a graph, if that's what you mean:\