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It can be either depending on its minimum value or its maximum value

Q: What would you want to be a parabola open upward or open downward?

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If the number in front of the x squared is negative, then the parabola will open upwards. The opposite occurs when the number is positive.

positive.

If a is greater than zero then the parabola opens upward.

Opens downward.

X2 + whatever would open upward. - X2 + whatever would open downward. y2 + whatever would open to the right. - y2 + whatever would open to the left.

open upward

Their noses are both at the origin, and they both open upward, but y=4x2 is a much skinnier parabola.

The slope of your quadratic equation in general form or standard form.

The cam pushes the lifter and pushrod up. The rocker sits on a fulcrum, which converts the upward motion of the pushrod into downward motion to open the valve.

Down

Since a parabola is an open infinite curve, the area inside it is infinite.

Downwards