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Similarly the axis of symmetry for this pink parabola, it should go through the line x equals negative one, so let me do that. That's the axis of symmetry. It goes through the vertex, and if you were to fold the parabola over it, it would meet itself.
Thus, the axis of symmetry is the x -axis. It follows that: 24 = 4p 24 = 4 p, so p = 6 p = 6 . Since p > 0 p > 0, the parabola opens right. the coordinates of the focus are (p, 0) = (6, 0) ( p, 0) = ( 6, 0) the equation of the directrix is x = −p = −6 x = − p = − 6.
Here, a = 1 , b = − 6 and c = 5 . Substitute. x = − − 6 2 ( 1 ) Simplify. x = 6 2 = 3. Therefore, the axis of symmetry is x = 3 . The axis of symmetry of a parabola is the vertical line through the vertex. For a parabola in standard form, y = ax2 + bx + c, the axis of symmetry has the equation.
The axis of symmetry of a parabola \(y^2 = 4ax\) is the x-axis, as the x-axis cuts the parabola into two equal halves. What Is The Equation Of Axis Of Symmetry Of Parabola? The axis of symmetry for a parabola \(y^2 = 4ax\) is the x-axis and its equation is y = 0.
The equations of parabolas with vertex (0, 0) (0, 0) are y 2 = 4 p x y 2 = 4 p x when the x-axis is the axis of symmetry and x 2 = 4 p y x 2 = 4 p y when the y-axis is the axis of symmetry. These standard forms are given below, along with their general graphs and key features.
Aug 3, 2023 · In Parabola. The axis of symmetry is best studied in a parabola, while graphing a quadratic function. Thus, the axis of symmetry of a parabola is the line about which a parabola is symmetric. It always passes through its vertex. The x -coordinate of the vertex is the equation of the parabola’s axis of symmetry. Axis of Symmetry.
Axis of symmetry - the line that splits the parabola through the middle; it passes through the vertex, focus, and directrix. Latus rectum - a chord that passes through the focus that is parallel to the directrix and perpendicular to the axis of symmetry.
