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.

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

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. Finding the axis of symmetry for a given polynomial is fairly simple. To find an axis of symmetry, start by checking the degree or largest exponential value of the polynomial. If the degree of your polynomial is 2, you can find the axis of symmetry by plugging the numbers directly into the axis of symmetry formula. Solve the formula and the answer you get is the x-intercept of the axis of symmetry. If the degree of the polynomial is higher than 2, you will need to find the axis of symmetry by using a graph. For tips on solving graphically, read on! Did this summary help you? Yes No.

Make a graph point for each pair.

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.

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

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.

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This line of axis dividing the objects could be any one of the three types that are: horizontal x-axis , vertical y-axis , or inclined line. Some polynomials are not symmetrical. Return to Math Sample Questions. The axis of symmetry can be either vertical, horizontal, or diagonal. Terms and Conditions. Last Updated: January 5, Fact Checked. Axis of Symmetry of a Parabola A parabola is a two-dimensional curve that is the result of a quadratic equation. Maths Formulas. Download Article Learn to calculate the axes of symmetry for algebraic expressions. Relationships Dating Love Relationship Issues. The axis of symmetry divides the parabola into two mirror images. With practice, you should be able to quickly identify the axis of symmetry for any given equation. A parabola is a two-dimensional figure with mirror symmetry. Solve the formula and the answer you get is the x-intercept of the axis of symmetry.

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. Explore how the graph and equation relate to the axis of symmetry , by using our interactive program below.

Our Mission. I must say that I am very impressed by the functionality and ease of use of their online App. Draw the x- and y- axes. Because this graph consists of a straight line, it does not have an axis of symmetry. The horizontal line is your x-axis; the vertical line is your y-axis. Submit a Tip All tip submissions are carefully reviewed before being published. What is the formula for the axis of symmetry for a parabola that is in standard form? The axis of symmetry determines the form of the parabola. Not Helpful 10 Helpful Support wikiHow Yes No. The axis of symmetry divides the parabola into two mirror images. Solve the formula and the answer you get is the x-intercept of the axis of symmetry. Explore math program. Derivation of the Axis of Symmetry 7. Tips and Warnings.