 In order to get a grasp on quadratic relations, it is important to develop a thorough understanding of the parabola terminology.

Vertex.  The vertex is the turning point of the parabola – essentially the “tip” of the curve.  The vertex would be the bottom point of a parabola that opens upward and the top point of a parabola that opens downward.

Optimum Value.  Think of this as a fancy term for the y-value of the vertex.  The optimum value would be the “minimum” y-value for a parabola that opens upward, and the optimum value would be the “maximum” y-value for a parabola that opens downward.

*Optimization is finding the maximum or minimum value of a certain variable (the variable is the y-value in this case)

Zero(s).  When people refer to the “zero(s)” of a parabola, they’re referring to its x-intercept(s).  You can identify the zero(s) by finding the x-value(s) for which the y-value is 0.

Axis of Symmetry.  A line of symmetry that divides the parabola in half, passing through the vertex.  The Axis of Symmetry (or, as I like to call it, the AOS) is equidistant from the two zeros.

*If a parabola only has one zero, then the zero would also be the vertex and the AOS would simply pass through that point.

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