#### Equation of the axis of symmetry

## How do you find the equation of the line of symmetry?

To find the line of symmetry algebraically, you need to identify if the equation is written in standard form or vertex form. Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

## How do you find the vertex and axis of symmetry?

The Vertex Form of a quadratic function is given by: f(x)=a(x−h)2+k , where (h,k) is the Vertex of the parabola. x=h is the axis of symmetry. Use completing the square method to convert f(x) into Vertex Form.

## How do you draw the axis of symmetry?

The following steps are used to construct AB of length 7.3 cm and its axis of symmetry.Draw a line segment AB of length 7.3 cm.Now, take A as centre and draw a circle by using the compass. With the same radius, draw another circle using compass taking B as centre. Now, join CD.So, CD is the axis of symmetry.

## What is the axis of symmetry examples?

The two sides of a graph on either side of the axis of symmetry look like mirror images of each other. Example: This is a graph of the parabola y = x^{2} – 4x + 2 together with its axis of symmetry x = 2. The axis of symmetry is the red vertical line.

## What is a line of symmetry in letters?

Letters like B and D have a horizontal line of symmetry: their top and bottom parts match. Some letters, for example, X, H, and O, have both vertical and horizontal lines of symmetry. And some, like P, R, and N, have no lines of symmetry.

## What is the equation to find the vertex?

Lesson SummaryGet the equation in the form y = ax2 + bx + c.Calculate -b / 2a. This is the x-coordinate of the vertex.To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

## What is the vertex formula?

The vertex form of a quadratic is given by. y = a(x – h)^{2} + k, where (h, k) is the vertex. The “a” in the vertex form is the same “a” as. in y = ax^{2} + bx + c (that is, both a’s have exactly the same value). The sign on “a” tells you whether the quadratic opens up or opens down.

## What is axis of symmetry of a line?

A line through a shape so that each side is a mirror image. When the shape is folded in half along the axis of symmetry, then the two halves match up. In this photo the white line down the center is a vertical axis of symmetry. Also called the Line of Symmetry.

## Can the axis of symmetry be negative?

When a=0, the graph is not a parabola but a line. In a parabola the axis of symmetry is x= -b/2a. When ‘a’ was positive the axis of symmetry was negative, and when a was negative the axis of symmetry was positive. In the second case when b=-1 and c=-3, the axis of symmetry was x=1/2a.

## Can a line have a line of symmetry?

We often find symmetry in things around us. We say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.