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X = – b/2a
- The equation of axis of symmetry is, x = – b/2a, here a = coefficient of x 2, b = coefficient of x, c = constant
mathmonks.com/symmetry/axis-of-symmetryAxis of Symmetry – Definition, Formulas, Equation, & Examples
The axis of symmetry equation of a parabola whose vertex is (h, k) and opens left/right is y = k. Axis of Symmetry Formula. The axis of symmetry formula is applied on quadratic equations where the standard form of the equation and the line of symmetry are used.
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.
Aug 3, 2023 · Equation of axis of symmetry is, x = h, here (h, k) = vertex of the parabola. We obtain the vertex of the function (x, y) by substituting the value of x in the standard form of the equation and get the value of y.
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 6, 2021 · The equations of parabolas with vertex \((0,0)\) are \(y^2=4px\) when the x-axis is the axis of symmetry and \(x^2=4py\) when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features.
For a parabola with a vertex at `(h, k)` that opens leftwards or rightwards, the axis of symmetry equation is \( y = k \). Axis of Symmetry Formula in Standard Form and Vertex Form. The axis of symmetry formula helps determine the line that divides a parabola into two symmetrical halves.
The axis of symmetry of a parabola can be found using the formula $x = -b/2a$, where $a$ and $b$ are the coefficients in the quadratic equation $y = ax^2 + bx + c$. For an absolute value function $f (x) = a|x - h| + k$, the axis of symmetry is the vertical line $x = h$.
