axis of symmetry
The line that divides a function into two matching halves
In mathematics, the axis of symmetry (also known as line of symmetry) is an imaginary line that divides a geometrical shape into two identical halves. This line can be both vertical and horizontal, depending on the shape of the object.
In a parabola, the axis of symmetry is a vertical line that passes through the vertex of the parabola. It divides the parabola into two identical halves, reflecting one half of the parabola over to the other.
For example, the standard form of a parabola is y = ax^2 + bx + c. The axis of symmetry is given by the formula x = -b/2a. So, if the equation of the parabola is y = 2x^2 + 4x + 1, the axis of symmetry can be calculated as x = -(4)/(2*2) = -1.
Therefore, the axis of symmetry of this parabola is the vertical line x=-1.
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