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The vertex is the point where the axis of symmetry intersects the parabola. This is the key point to determine its equation. If the parabola opens up or down, the axis of symmetry is vertical and in this case, its equation is the vertical line that passes through its vertex.
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 · 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.
For a parabola with a vertex at (h, k) that opens upwards or downwards, the axis of symmetry equation is x = h. Likewise, if the parabola opens either rightwards or leftwards, signifying a horizontal axis of symmetry, the equation of the axis becomes a horizontal line passing through the vertex.
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.
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.
Jan 3, 2024 · In the vertex form of a quadratic function (y = a(x-h)² + k), the formula of the axis of symmetry is x = h. Here, ‘h’ is the x-coordinate of the vertex. The vertex form is often easier to work with as it readily provides the vertex and the axis of symmetry.
