What is the equation to the parabola whose axis is parallel to x-axis?
What is the equation to the parabola whose axis is parallel to x-axis?
Therefore, the axis of the given parabola is along parallel to negative x-axis and its equation is y = – 1 i.e., y + 1 = 0. The co-ordinates of its vertex are (h, k) i.e., (3, -1).
What is the equation of the parabola symmetric about the x-axis?
A standard parabola is given by the equation π¦2 = 4ππ₯ . It is symmetric about x-axis. Another standard equation of the parabola is π₯ 2 = 4ππ¦.
What is the equation of parabola which symmetric about the x-axis and focus at the A 0?
A General Note: Standard Forms of Parabolas with Vertex (0, 0)
| Axis of Symmetry | Equation | Focus |
|---|---|---|
| x-axis | y2=4px | (p, 0) |
| y-axis | x2=4py | (0, p) |
What is the equation of the parabola with vertex at origin the axis is along the x-axis and passing through the point 2 3?
Vertex of the parabola is at origin (0, 0) and its axis is along X-axis. β΄ Equation of the parabola can be either y2 = 4ax or y2 = β4ax.
How do you write the axis of symmetry?
For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=βb2a . Example 1: Find the axis of symmetry of the parabola shown. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Are parabolas symmetrical to the y-axis?
The line (or “axis”) of symmetry is the y-axis, also known as the line x = 0. The graph is said to be “symmetric about the y-axis”, and this line of symmetry is also called the “axis of symmetry” for the parabola.
What is the equation of symmetry of a parabola?
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=βb2a .