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The axis of symmetry is where the vertex intersects the parabola at the point denoted by the vertex (h, k). h is the x coordinate. and in the vertex form, x = h and h =-b/2a where b and a are the coefficients in the standard form of the equation, y = ax 2 + bx + c.
Aug 3, 2023 · The vertex form of a quadratic equation is y = a (x – h) 2 + k, 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.
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”.
Feb 1, 2024 · The axis of symmetry is the vertical line that goes through the vertex, dividing the parabola into two equal parts. If \(h\) is the \(x\)-coordinate of the vertex, then the equation for the axis of symmetry is \(x=h\). The maximum or minimum value of a parabola is the \(y\)-coordinate of the vertex.
Feb 13, 2022 · The point on the parabola that is on the axis of symmetry is called the vertex of the parabola; it is the lowest or highest point on the parabola, depending on whether the parabola opens upwards or downwards.
Definition. The axis of symmetry is a vertical line that divides a parabola into two mirror-image halves. It passes through the vertex of the parabola and has the equation $x = -\frac{b}{2a}$ for a quadratic function in standard form.
