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- A line of symmetry for a graph. The two sides of a graph on either side of the axis of symmetry look like mirror images of each other. Example: This is a graph of the parabola y = x 2 – 4 x + 2 together with its axis of symmetry x = 2. The axis of symmetry is the red vertical line.
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What is Axis of Symmetry in Algebra? The axis of symmetry is an imaginary line that divides a figure into two identical parts such that each part is a mirror reflection of one another. A regular polygon of 'n' sides has 'n' axes of symmetry.
May 22, 2024 · Line of Symmetry: A line of symmetry, also known as an axis of symmetry or mirror line, is a line that splits a shape or object into two identical and symmetrical halves. Each half mirrors the other, making them look like reflections of one another across the line which indicates that both parts of the shape would perfectly match.
Aug 3, 2023 · The axis of symmetry is an imaginary line that makes the shape symmetrical about it. In other words, it divides the shape into two halves such that each half is a mirror image of the other. If we fold and unfold an object along the axis of symmetry, the two sides are identical.
Jul 27, 2023 · An axis of symmetry is a line that cuts a shape into two parts that are the same. Some shapes have more than one axis of symmetry, like squares, circles, and triangles with equal sides. Knowing about axes of symmetry helps us study how shapes are balanced. Here are some example axes of symmetry in geometry.
Oct 8, 2024 · The axis of symmetry of a parabola is a vertical line that divides a parabola into two halves. This line passes through the vertex of the parabola, which is the highest or lowest point of the graph, depending on its orientation.
The axis of symmetry is a line that divides a shape or function into two identical halves as if folding it along that line. It's crucial in quadratic functions, where it's a vertical line passing through the vertex of the parabola. “Axis of symmetry” is also called “line of symmetry”.
In algebra, the axis of symmetry is most commonly associated with parabolas, the U-shaped graphs of quadratic functions. The equation of a parabola in standard form is $$y = ax^ {2} + bx + c$$y = ax2 +bx+c. The axis of symmetry for this parabola is a vertical line given by the formula: $$x = -\frac {b} {2a}$$x =−2ab.
