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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.
Example `1`. Find the axis of symmetry of the parabola represented by the equation \( y = x^2 - 4x + 3 \). Solution: Identify the coefficients: \( a = 1 \), \( b = -4 \), \( c = 3 \) Use the formula: \( x = -\frac{b}{2a} \) Substitute the values: \( x = \frac{-4}{2 \times 1} = -2 \) Therefore, the axis of symmetry is \( x = -2 \). Example `2`.
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.
Jan 3, 2024 · The Axis of Symmetry, a key concept in Geometry and Algebra, offers a delightful window into this world of symmetry. Buckle up as we demystify the definition, formula, and application of this concept, with solved examples to light your way!
Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves. On this page, we will practice drawing the axis on a graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation.
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.
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. The word symmetry implies balance. Symmetry can be applied to various contexts and situations.
