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The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric. To simplify, this line splits the graph of a quadratic equation into two mirror images.
- How do you find the axis of symmetry?
- What is the axis of symmetry examples?
- How do you find the vertex and axis of symmetry of a function?
How do you find the axis of symmetry?
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
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.
How do you find the vertex and axis of symmetry of a function?
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.
