2023年11月21日 · Thus, the directrix of this parabola is {eq}y = k - p = -1 - .25 = -1.25 {/eq}. The parabola from the example with its directrix labelled. The directrix of a parabola opening either up or down is ...

The fixed point is called the focus and the line is the directrix. Equation for a parabola: If the parabola opens up or down the equation is: $$\mathbf{{(x-h)}^2=4p(y-k)} $$

Directrix: The directrix of a parabola is a straight line {eq}y = k - \dfrac{1}{4a} {/eq} which satisfies the following property: every point on the parabola is the same distance from the ...

Finding the Focus and Directrix of a Parabola in Vertex Form. Step 1: Identify {eq}h, k, {/eq} and {eq}a {/eq} for the parabola in vertex form {eq}y = a(x-h)^2 + k {/eq} through comparison of the ...

2023年11月21日 · The directrix and the focus provide enough information to write an equation for a parabola. Any point on the parabola is equidistant to the focus and the directrix.

Find the directrix of the following parabola: y^2 = 32x. Find the equation of the directrix for the parabola (x + 1)^2 = 4 (y - 1). Find the eccentricity, identify the conic, give an equation of the directrix: r=\frac{6}{2+3\sin \theta}

It is planner geometry that involves a vertex, a focus, and a directrix. The vertex of the parabola is the highest or lowest point on its graph through which the axis of symmetry passes. Generally, a parabola is a locus of all sets of points that are equidistant from a fixed-line and fixed point.

Focus, directrix, and parabola: Given a point called the focus and a line called the directrix, a parabola is the set of points {eq}(x,y) {/eq} whose distance to the focus equals the ...

A parabola is the set of all points that have a greater y value than a single point, called the focus of the parabola, and a lesser x value than a single point, called the directrix of the parabola.

Find directrix focus and axis for the parabola y^2 + 8x - 6y + 1 = 0. Determine the equation of the parabola, whose axis of symmetry is the x-axis, passing through (-2, 4) vertex is the origin. Find the focus and directrix.