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The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form. The symmetry cuts any geometric shape into two equal halves. The axis of symmetry formula is given as, for a quadratic equation with standard form as y = ax 2 + bx + c, is: x = -b/2a.
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 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.
Sep 23, 2022 · A step-by-step guide to finding the axis of symmetry of quadratic functions. The axis of symmetry is a straight line that makes the shape of the object symmetrical. The axis of symmetry creates precise reflections on each of its sides. It can be horizontal, vertical, or lateral.
In the standard form of a quadratic equation, which is \( y = ax^2 + bx + c \), the axis of symmetry formula is given by: \( x = \frac{-b}{2a} \) This formula calculates the `x`-coordinate of the vertex, determining the line of symmetry for the parabola.
The axis of symmetry of a quadratic function is the vertical line that divides the parabola into two equal parts. Equation of the axis of symmetry. Let *f (x)=ax^2+bx+c* be the quadratic function, the axis of symmetry of the graph of this function has the equation: *x=\dfrac {-b} {2a}*
