Search results
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.
- Vertex Form
The axis of symmetry. The axis of symmetry is the line $ x =...
- Interactive Parabola
Explore the relationship between the equation and the graph...
- 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.
We learn how to find the equation of a parabola's axis of symmetry using its x intercepts, also called its zero or roots.
- 5 min
- 4.9K
- Radford Mathematics
- 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...
We learn how to find the axis of symmetry of a parabola, given its equation. The formula is given and the method is illustrated with some worked examples.
- 6 min
- 40.2K
- Radford Mathematics
Aug 3, 2023 · The axis of symmetry is best studied in a parabola, while graphing a quadratic function. Thus, the axis of symmetry of a parabola is the line about which a parabola is symmetric. It always passes through its vertex. The x -coordinate of the vertex is the equation of the parabola’s axis of symmetry. Axis of Symmetry.
People also ask
What is the axis of symmetry of a parabola?
What is the x-coordinate of a parabola?
How do you know if a parabola is horizontal or vertical?
How to calculate axis of symmetry?
What is a vertex axis of symmetry?
Which axis of symmetry is horizontal or vertical?
How To Find Axis Of Symmetry Of Parabola? The axis of symmetry of the parabola can be easily found from the geometric representation of parabola in the coordinate axis. The axis of symmetry of a parabola \(y^2 = 4ax\) is the x-axis, as the x-axis cuts the parabola into two equal halves. What Is The Equation Of Axis Of Symmetry Of Parabola?
