Axis of symmetry
The axis of symmetry is a line that divides a symmetrical shape or curve into two equal halves
The axis of symmetry is a line that divides a symmetrical shape or curve into two equal halves. In the context of mathematics, the axis of symmetry is often referred to in relation to quadratic functions or parabolas.
For a quadratic function in the form of f(x) = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/2a. This formula gives us the x-coordinate of the vertex, which is the point where the axis of symmetry intersects the parabola.
In other words, the axis of symmetry is a vertical line that passes through the vertex of a parabola and divides it into two symmetrical halves. The points on either side of the axis of symmetry have the same y-coordinate value, but different x-coordinate values.
Understanding the axis of symmetry is useful in various mathematical applications. It can help determine the vertex, find the minimum or maximum values of a quadratic function, and graphically represent symmetrical patterns.
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