Quadratic Graphs

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How do you determine if a quadratic equation opens upwards or downwards?

If $a > 0$, it opens upwards; if $a < 0$, it opens downwards.

What is the formula for finding the roots of a quadratic equation?

The roots can be found using the quadratic formula: $x = \frac{-b \pm \sqrt{D}}{2a}$.

What is the relationship between the vertex and the axis of symmetry?

The vertex lies on the axis of symmetry, which divides the parabola into two mirror images.

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