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If the parabola opens right or left, the axis of symmetry is horizontal and its equation is the horizontal line that passes through its vertex. i.e., The axis of symmetry equation of a parabola whose vertex is (h, k) and opens up/down is x = h.
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. Note: For a parabola facing upward or downward, the axis of symmetry is a vertical line (one is shown above).
There are two different formulas that you can use to find the axis of symmetry. One formula works when the parabola's equation is in vertex form and the other works when the parabola's equation is in standard form . Standard Form. If your equation is in the standard form y = ax2 + bx + c y = a x 2 + b x + c , then the formula for the axis of ...
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.
Sep 23, 2022 · The vertex is the point that intersects the axis of parabola symmetry. This is the key to determining its equation. If a 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.
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.
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.
