A square has four lines of symmetry, a rectangle has 2 lines of symmetry, a circle has infinite lines of symmetry and a parallelogram has no line of symmetry. A regular polygon of 'n' sides has 'n' axes of symmetry. A Parabola has one line of symmetry. The axis of the symmetry is the straight line that divides a parabola into two symmetrical parts. The parabola can be in four forms. It can be either horizontal or vertical, facing left or right.
The axis of symmetry determines the form of the parabola. If the axis of symmetry is vertical, then the parabola is vertical. If the axis of symmetry is horizontal, then the parabola is horizontal. The vertex is the point where the axis of symmetry intersects the parabola. If the parabola opens up or down, the axis of symmetry is vertical. The equation of the axis of symmetry is the equation of the vertical line that passes through the x-intercept. If the parabola opens right or left, the axis of symmetry is horizontal.
The equation of the axis of symmetry is the horizontal line that passes through the y-intercept. The axis of symmetry formula helps to find the axis of symmetry of parabola, applied on quadratic equations where the standard form of the equation and the line of symmetry are used.
A line that divides or bifurcates any object into two equal halves, both halves of which are mirror images of each other is called the axis of symmetry. This line of axis dividing the objects could be any one of the three types that are: horizontal x-axis , vertical y-axis , or inclined axis.
The green line is the axis of symmetry. Note where the green line is and how it divides the parabola. To find the actual coordinates for the vertex of the parabola, simply substitute the x value into the polynomial expression to find the corresponding y value.
Remember, each point on the quadratic graph is a solution to the equation. We now know that the vertex of the parabola is the coordinate -2, Axis of Symmetry of a Parabola The graph of a quadratic function is a parabola. Example 1: Find the axis of symmetry of the parabola shown. Subjects Near Me.
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