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 = x2 – 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.

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