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What are the steps to determining if a vertex is a maximum or minimum given the direction of opening the parabola

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To determine if a vertex is a maximum or minimum given the direction of opening the parabola, we have:

If the parabola is open upward as follows:

The vertex represents a minimum.

On the contrary, if the parabola opens downward, we have that the parabola has a maximum:

We can also find if a quadratic equation has a maximum or a minimum if we observe the quadratic coefficient of the quadratic equation:

1. If the quadratic coefficient is negative, we have a maximum.

2. If the quadratic coefficient is positive, we have a minimum.

That is:

What are the steps to determining if a vertex is a maximum or minimum given the direction-example-1
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