#### Equation for the axis 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 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.

## How do you find the symmetry of a function?

Test for symmetry about the y-axis: Replace x with (-x). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the y-axis.

## 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 the axis of symmetry be 0?

A parabola’s axis of symmetry always goes through the vertex of the parabola. In other words, it is a vertical line that goes through the x-coordinate of the vertex. Therefore, the equation of the axis of symmetry for this parabola is x = 0.