How to find the equation of the axis of symmetry

An axis of symmetry can be either horizontal, vertical, or diagonal. There are a few world4ufree.cam equations that can be used to find the axis of symmetry for a given shape or object.

Last Updated: January 5, Fact Checked. To create this article, volunteer authors worked to edit and improve it over time. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed , times. Learn more The graph of a polynomial or function reveals many characteristics that would not be clear without a visual representation. One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images.

How to find the equation of the axis of symmetry

A line of symmetry refers to a line that is drawn through the center of a shape so that it creates two identical halves. Each half is a mirror image of the other. Some shapes have one line of symmetry, like an isosceles triangle, and other shapes have many lines of symmetry. For example, a regular pentagon has 5 lines of symmetry. Not all shapes will have lines of symmetry however. Imagine the letter J. We cannot draw one line through the letter J with the result being two identical halves. Letters such as W , B , O , and Y do have lines of symmetry. The equation of a parabola creates an arc when it is graphed. This U shape has one line of symmetry, right down the middle of the arc.

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The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed. This line can be vertical, horizontal, or slanting. We can see this axis of symmetry even in nature such as flowers, riverbanks, buildings, leaves, and so on. We can observe this in the Taj Mahal, the iconic marble structure in India. The axis of symmetry is a straight line that makes the shape of the object symmetrical. The axis of symmetry creates the exact reflections on each of its sides.

Home » Geometry » Symmetry » Axis of Symmetry. The axis of symmetry is an imaginary line that makes the shape symmetrical about it. In other words, it divides the shape into two halves such that each half is a mirror image of the other. If we fold and unfold an object along the axis of symmetry, the two sides are identical. 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 axis of symmetry determines the form of the parabola. It can be either horizontal or vertical, facing left or right.

How to find the equation of the axis of symmetry

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed. This line can be vertical, horizontal, or slanting. We can see this axis of symmetry even in nature such as flowers, riverbanks, buildings, leaves, and so on. We can observe this in the Taj Mahal, the iconic marble structure in India. The axis of symmetry is a straight line that makes the shape of the object symmetrical.

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For example, a square has four axes of symmetry that intersect at its center point. Edit this Article. A parabola has one line of symmetry. Draw the graph of the polynomial. Submit a Tip All tip submissions are carefully reviewed before being published. The equation of a parabola creates an arc when it is graphed. A line of symmetry refers to a line that is drawn through the center of a shape so that it creates two identical halves. Identification of the Axis of Symmetry 8. This was exactly the one-on-one attention I needed for my math exam. I must say that I am very impressed by the functionality and ease of use of their online App. This line will split the parabola into two identical halves. The axis of symmetry is an important concept in geometry, and the formula for finding the axis of symmetry of a line or curve is relatively simple.

Last Updated: January 5, Fact Checked. To create this article, volunteer authors worked to edit and improve it over time. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources.

This line can be vertical, horizontal, or slanting. To find the axis of symmetry equation, first determine whether the function is even or odd. This U shape has one line of symmetry, right down the middle of the arc. However, the formula is slightly different. This was exactly the one-on-one attention I needed for my math exam. Article Summary. To find the axis of symmetry, plug in the values for a, b, and c into the equation. The axis of symmetry is an important concept in math and science, and it has a wide range of applications. A parabola is a two-dimensional figure with mirror symmetry. Plug your numbers into the axis of symmetry formula.