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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.
www.cuemath.com/algebra/axis-of-symmetry/Axis of Symmetry - Equation, Formula, Definition, Examples ...
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.
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 symmetry is: x = −b 2a x = − b 2 a. Vertex Form.
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 \(x=h\).
Jun 4, 2023 · The axis of symmetry passes through the vertex (−2, 3) in Figure \(\PageIndex{13}\) and has equation x = −2. Note that the right half of the parabola is a mirror image of its left half across this axis of symmetry.
