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10 Examples of Axis of Symmetry

October 18, 2023

Axis of symmetry is an important concept in mathematics. It represents a line that divides a figure or an equation into two mirror-image halves.

In this article, we will discuss ten examples of axis of symmetry in mathematics.

Table of Contents

These are 10 examples of axis of symmetry.

Consider the quadratic equation: f(x) = (x – 3)^2 – 4. To find the axis of symmetry, we identify the value inside the parentheses, which is 3.

Axis of symmetry is the vertical line x = 3.

When graphing the equation y = x^2, you see that the axis of symmetry is the vertical line x = 0 (the y-axis).

In the equation of a circle, (x – h)^2 + (y – k)^2 = r^2, the axis of symmetry is the horizontal line y = k.

For the equation y = a(x – h)^2 + k, the axis of symmetry is the vertical line x = h.

Given the quadratic function f(x) = 2x^2 – 6x + 5, we find the axis of symmetry using the formula x = -b/2a.

In this case, x = -(-6) / (2 * 2) = 3/2.

Vertex of a parabola are used to identify the axis of symmetry.

For the parabola y = (x – 2)^2 – 3, the vertex is (2, -3), and the axis of symmetry is x = 2.

In a bridge design, if the left side is a mirror image of the right side, the axis of symmetry is the centerline of the bridge.

In an isosceles triangle, where two sides and angles are congruent.

Axis of symmetry is the perpendicular bisector of the base.

For a parabolic mirror used in telescopes or satellite dishes. Axis of symmetry passes through the focus point.

In graphic design, symmetry is often used for creating pleasing logos, illustrations, or architecture.

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