The axis of symmetry is a line that divides a shape or graph into two equal halves. In the case of a quadratic function, it is a vertical line that passes through the vertex of the parabola.
To find the axis of symmetry of a quadratic function, you can use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in the form of ax^2 + bx + c.
The axis of symmetry represents the line of symmetry in the parabola. It is the point where the parabola changes direction from increasing to decreasing or vice versa.
No, a quadratic function can only have one axis of symmetry. This is because the axis of symmetry is determined by the values of a and b in the quadratic equation, and these values cannot change.
The value of a in a quadratic function determines the direction and width of the parabola. A positive value of a will result in a parabola opening upwards, and the axis of symmetry will be a minimum point on the graph. A negative value of a will result in a parabola opening downwards, and the axis of symmetry will be a maximum point on the graph.