Learn how to find the axis of symmetry for various shapes, functions, and equations using a simple formula.

The axis of symmetry is defined by x = − b 2 a.

Learn what is the axis of symmetry of a shape or function, and how to find its equation for parabolas.

Watch a video, see examples, and read comments from other learners.

See examples, graphs, and formulas for parabolas.

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Learn what is the axis of symmetry of a parabola, how to find it, and its properties.

The axis of symmetry passes through the vertex (−2, 3) in figure (\pageindex{13}) and has equation x = −2.

The axis of symmetry of a quadratic function is the vertical line that divides the parabola into two equal parts.

Let f (x)=ax^2+bx+c be the quadratic function,.

If we use the quadratic formula, x = − b ± b.

The axis of symmetry is the line perpendicular to the directrix that passes.

Note that the right half of the parabola is a mirror image of its left half across.

See examples, practice problems and formulas for standard and vertex forms of.

Learn what a parabola is, how to write its equation in standard or vertex form, and how to find its focus, directrix, and axis of symmetry.

— axis of symmetry formula.

Equation of the axis of symmetry.

The equation of the axis of symmetry can be shown when a parabola is in two forms:

This video illustrates how to find the equation of the axis of symmetry when graphing a quadratic equation, and how to draw and label it on the graph.

X = − b 2 a.

Determine the axis of symmetry for a parabola equation with the calculator.

The quadratic equation in standard form is,.

We can use the general form of a parabola to find the equation for the axis of symmetry.

The axis of symmetry calculator shows the complete steps involved in calculating the vertex that divides.

Every parabola has an axis of symmetry and, as the graph shows, the graph to either side of the axis.

See examples of parabolas with different axis of symmetry and their equations.

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The benefits of finding.

These standard forms are.

— the dashed line with each of these parabolas is called the axis of symmetry.

— learn how to find the axis of symmetry and vertex of a parabola using a formula and examples.

Learn how to find the vertex and the axis of symmetry of a parabola from a quadratic equation.