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Standard Form Equation for Parabola
The standard form equation for parabolas looks like your standard quadratic:
This form provides you a couple of key bits of information.
1. The first number you see, a, tells you whether your parabola opens up or down. If a is negative, it will open downwards and look like a frown. If 'it is positive, it will open up and will look like a smile. A good way to remember this is to think of the phrase, 'Be positive; don't frown.'

2. Using both a and b will give you the axis of symmetry of the parabola. The axis of symmetry of the parabola is the line that acts as a mirror for the parabola. The parabola on either side of the axis of symmetry is the mirror image of the other side.
The standard form equation for parabolas looks like your standard quadratic:
This form provides you a couple of key bits of information.
1. The first number you see, a, tells you whether your parabola opens up or down. If a is negative, it will open downwards and look like a frown. If 'it is positive, it will open up and will look like a smile. A good way to remember this is to think of the phrase, 'Be positive; don't frown.'

2. Using both a and b will give you the axis of symmetry of the parabola. The axis of symmetry of the parabola is the line that acts as a mirror for the parabola. The parabola on either side of the axis of symmetry is the mirror image of the other side.
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