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The directrix of a parabola can be found, by knowing the axis of the parabola, and the vertex of the parabola. For an equation of the parabola in standard form y 2 = 4ax, with focus at (a, 0), axis as the x-axis, the equation of the directrix of this parabola is x + a = 0 .
- Latus Rectum
The latus rectum of a parabola is the chord that is passing...
- Latus Rectum
Definition. A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and. a fixed straight line (the directrix ) On Paper. Get a piece of paper, draw a straight line on it, then make a big dot for the focus (not on the line!).
A parabola is a locus of points equidistant from both 1) a single point, called the focus of the parabola, and 2) a line, called the directrix of the parabola. What is the Focus and Directrix? The red point in the pictures below is the focus of the parabola and the red line is the directrix.
A parabola is the set of all points \((x,y)\) in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. Previously, we learned about a parabola’s vertex and axis of symmetry.
The directrix of a parabola is an imaginary straight line perpendicular to the axis that passes through the focus of the parabola. The equation for this line is y=d, where d is equal to the distance between the focus and directrix.
29 sty 2023 · Focus and directrix. The locus defining a parabola depends on a focus and a directrix. The focus is a point. For a standard parabola, the focus is located on the x-axis at a distance a from the origin, that is at the point (a, 0). a is the constant in the parabola equation: The directrix is a line.
29 sie 2023 · To derive the equation of a parabola in the \(xy\)-plane, start with the simple case of the focus on the \(y\)-axis at \((0,p)\), with \(p>0\), and the line \(y=-p\) as the directrix, as in the figure on the right.
