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Vertex of a Parabola
The vertex of a parabola is the exact point where the parabola intersects its axis of symmetry. Depending on the direction the parabola opens, this point is either the lowest point on the curve (for an upward-opening parabola) or the highest point on the curve (for a downward-opening parabola). Because the vertex lies on the axis of symmetry, its x-coordinate is always . The y-coordinate is then found by substituting this x-value back into the parabola's original quadratic equation.
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Elementary Algebra @ OpenStax
Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
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