6.MathematicsA fixed point whose relationship with a directrix determines a conic section. v.fo·cused,fo·cus·ing,fo·cus·esorfo·cussedorfo·cus·singorfo·cus·ses v.tr. 1.To cause (light rays, for example) to converge on or toward a central point; concentrate. ...
Find the vertex, focus, and directrix of the parabola and sketch its graph. 2y^2 = 5x Find the vertex, focus, and directrix of the parabola and sketch its graph 4y^2=-x Find the vertex, focus, and directrix of the parabola, and sketch its graph. y = 1/2 ...
A point so related to a conic section and certain straight line called the directrix that the ratio of the distance between any point of the curve and the focus to the distance of the same point from the directrix is constant. A central point; a point of concentration. ...
: a point of convergence (see convergence sense 1) of a beam of particles (such as electrons) 5 : one of the fixed points that with the corresponding directrix defines a conic section 6 : a localized area of disease or the chief site of a generalized disease or infection 7 : the...
(1) The focus of a curve of degree 2—an ellipse, a hyperbola, or a parabola—is a pointFlying in the plane of the curve and possessing the property that the ratio of the distance between any point on the curve andFto the distance to the directrix is a constant equal to the eccentri...
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The focus is a point, and the directrix is a line. Step 2: Identify the coordinates of the focus and the equation of the directrix- Focus F(4,0)- Directrix x=−4 Step 3: Determine the vertex of the parabolaThe vertex of the parabola lies halfway between the focus and the ...
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Rolling Simplexes and Their Commensurability. II (A Lemma on the Directrix and Focus)SIMPLEXES (Mathematics)PLANE wavefrontsMATHEMATICAL complexesINTERSECTION theoryMATHEMATICAL functionsThe law of central-square dynamics expressing the focusing of a plane wave at the point ( a...
Let's say we have the parabola {eq}y=\frac{x^2}{8} {/eq} where the focus is at point {eq}F(0,2) {/eq} and the directrix is {eq}y=-2 {/eq}, we will pick a point in the parabola {eq}P_{1}(4,2) {/eq} and a point in the directrix {eq}P_{2}(4,-2) {/eq...