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Line that divides a symmetrical figure
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- The axis of symmetry is a line that divides a symmetrical figure, such as a parabola or absolute value function, into two equal halves. It represents the midpoint or line of reflection for the function, where the left and right sides are mirror images of each other.
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The axis of symmetry formula is applied on quadratic equations where the standard form of the equation and the line of symmetry are used. A line that divides or bifurcates any object into two equal halves, both halves of which are mirror images of each other is called the axis of symmetry.
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.
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.
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”.
Oct 8, 2024 · According to the definition, the axis of symmetry is the midpoint of its two x-intercepts. To find the x-intercept, substituting y = 0 in the equation (i), we get. 0 = ax 2 + bx. ⇒ x (ax + b) = 0. ⇒ x = 0 and x = − b 2 a. Now, the mid-point formula is x = (x 1 + x 2) 2. ⇒ x = (0 + (− b a)) 2.
Symmetry is a key concept in geometry which cuts the figure into two halves that are exact reflections of each other, as shown in the figure given below. For a parabola, the axis of symmetry is given by the formula, \ [\large x = \frac {-b} {2a} for \: Quadratic \: Equation,\: y = ax^ {2}+bx+c\] Where, a and b are coefficients of x 2 and x ...
The axis of symmetry is a line that divides a symmetrical figure, such as a parabola or absolute value function, into two equal halves. It represents the midpoint or line of reflection for the function, where the left and right sides are mirror images of each other.
