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.

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.

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 different equations that can be used to find the axis of symmetry for a given shape or object. In this blog post, we will go over a few of these equations and provide some examples to help you better understand how they work. The axis of symmetry is an imaginary line that bisects a two-dimensional figure. It is the line about which a figure is symmetrical. The axis of symmetry is the y-axis. A parabola is a two-dimensional curve that is the result of a quadratic equation. The axis of symmetry of a parabola is the line that bisects the curve and is perpendicular to the directrix. The axis of symmetry divides the parabola into two mirror images. To find the axis of symmetry, plug in the values for a, b, and c into the equation. The axis of symmetry equation is a mathematical formula used to determine the location of the axis of symmetry for a given function. The axis of symmetry is the line that divides a function into two mirror image halves.

Learn more For example, a square has 4 and a rectangle has 2 axes of symmetry.

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.

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.

How to find the equation of the axis of symmetry

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. Now, we will discuss how to find the axis of symmetry of parabola from its standard and vertex forms of equations.

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Cookies make wikiHow better. Matthews drops down into a snowboard halfpipe shaped like a parabola. In the equation we can see that the value of h is represented by a 1, and the value of k is represented by a 2. Question 2: What is the formula for the axis of symmetry for a parabola that is in standard form? The axis of symmetry intersects the parabola at its vertex and is a horizontal line in this case as the parabola opens sideways. Maths Program. As always, if you have any questions or comments, please feel free to reach out to us! Categories: Algebra. Question 4: Mr. Sri Lanka. Maths Puzzles.

A circle is thus said to be symmetric under rotation or to have rotational symmetry. The types of symmetries that are possible for a geometric object depend on the set of geometric transforms available, and on what object properties should remain unchanged after a transformation. Because the composition of two transforms is also a transform and every transform has, by definition, an inverse transform that undoes it, the set of transforms under which an object is symmetric form a mathematical group , the symmetry group of the object.

Skip to Content. Explore math program. You Might Also Like. For example, a square has four axes of symmetry that intersect at its center point. Arts and Entertainment Artwork Books Movies. The axis of symmetry intersects the parabola at its vertex and is a horizontal line in this case as the parabola opens sideways. The axis of symmetry is the y-axis. Testimonials Club Z! Axis of Symmetry Examples Example 1: Find the equation of the axis of symmetry of the given parabola. Answer: The axis of symmetry for a parabola is the line that will divide a parabola into two equal halves which are mirror images of each other. Did this article help you? Thanks Helpful 0 Not Helpful 0.