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When the parabola opens either upwards or downwards, indicating a vertical axis of symmetry, the equation of the axis is a simple vertical line passing through the vertex. For a parabola with a vertex at `(h, k)` that opens upwards or downwards, the axis of symmetry equation is \( x = h \).
- Axis of Symmetry Definition
- Standard Form
- Vertex Form
The axis of symmetry is an imaginary line that divides a figure into two identical parts such that each part is a mirror reflection of one another. When the figure is folded along the axis of symmetry, the two identical parts superimpose. A parabolahas one line of symmetry. The axis of the symmetry is the straight line that divides a parabola into ...
The quadratic equation in standard formis, y = ax2+ b x+c where a, b, and c are real numbers. Here, the axis of symmetry formula is: x = - b/2a.
The quadratic equation in vertex form is, y = a (x-h)2 + k where (h, k) is the vertex of the parabola. Here, the axis of symmetry formula is x = h. The axis of symmetry always passes through the vertex of the parabola. Thus identification of the vertex helps us to calculate the position of the axis of symmetry. Axis of symmetry formula for a parabo...
Feb 1, 2024 · The axis of symmetry, \ (x=h\) is the \ ( \underline {\textrm {equation}} \) of the vertical line through the vertex. The maximum or minimum value depends on the \ (y\)-coordinate, \ (k\), of the vertex and the orientation of the parabola.
Sep 10, 2018 · The axis of symmetry in case of parabola goes through the vertex of parabola. In other words, this is a vertical line that passes though the x-coordinates of the vertex. In most of cases, parabola has perfect symmetry but it is not necessary that the line of symmetry will always lie on the y-axis only.
Feb 13, 2022 · For a parabola with equation y = ax2 + bx + c: The axis of symmetry of a parabola is the line x= − b 2a. The vertex is on the axis of symmetry, so its x -coordinate is − b 2a. To find the y -coordinate of the vertex, we substitute x= − b 2a into the quadratic equation.
2 days ago · 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.
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Vertex: (3 2, 9 4) Correct answer: xsymmetry = 3 2. Vertex: (3 2, −29 4) Explanation: The first step of the problem is to find the axis of symmetry using the following formula: xsymmetry = − b 2a. Where a and b are determined from the format for the equation of a parabola: y = ax2 + bx + c.
