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- The axis of symmetry is a vertical line that runs through the vertex of the parabola. This line divides the parabola into two mirror-image halves. For any quadratic function f (x) = a (x − h) 2 + k, the axis of symmetry can be found using the formula x = h. In our example, for the function f (x) = (x − 3) 2 − 4, the axis of symmetry is at x = 3.
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.
Short Answer. Expert verified. Vertex: (3, -4); Axis of symmetry: x = 3; Y-intercept: (0, 5); X-intercepts: (1, 0) and (5, 0); Opens upwards. Step by step solution. 01. Identify the vertex. The vertex form of a quadratic function is given by f (x) = a (x − h) 2 + k where (h, k) is the vertex.
- Mark Dugopolski
- 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...
2 days ago · What is the axis (line) of symmetry of a parabola. Learn how to find its equations in standard and vertex form with examples and diagrams.
Sep 10, 2018 · This article will explain to you how to calculate the axis of symmetry of a parabola for the standard x-y coordinate plane. Also, you need to know about the vertex of parabola and how is it related to the axis of symmetry.
Aug 3, 2023 · The equation is in the vertex form, y = 2 3 (x − 3) 2 + 1, ∴ axis of symmetry is x = h, here (h, k) = (3, 1) ∴ x = 3. The graph is drawn in the figure alongside. What is the axis of symmetry with solved examples, and diagrams. Learn how to find its formula from equations.
Jan 3, 2024 · For a quadratic function in the standard form y = ax² + bx + c, the equation of the axis of symmetry is given by x = -b/2a. It’s that easy! Keep in mind that a, b, and c are coefficients of the equation, and they give us a way to identify this magical line of symmetry. Axis of Symmetry Formula.
