You do not know directrix and focus but you do not yet need them. Parabola Opens: to the right if p > 0, to the left if p 0 ----- x = -2y² since x = y²/(4p) then, (b) Find the diameter of the opening | CD| , 11 cm from the vertex. If the equation is in the form y = ax² + bx + c, the Latus Rectum is the reciprocal of 'a,' in this case, 1. This calculator will find either the equation of the parabola from the given parameters or the axis of symmetry, eccentricity, latus rectum, length of the latus rectum, focus, vertex, directrix, focal parameter, x-intercepts, y-intercepts of the entered parabola. As you can see from the diagrams, when the focus is above the directrix Example 1, the parabola opens upwards. Equation of diameter of parabola y2 = x corresponding to the chord x - y + 1 = 0 is (a) 2y = 3 (b) 2y = 1 (c) 2y = 5 (d) y = 1. Focal diameter: │4p│ [The focal diameter is the length of the line segment that is perpendicular to the x axis (in this case), runs through the focus, and has its end points on the parabola.] In the next section, we will explain how the focus and directrix relate to the actual parabola. A parabola is a common part of a conic section. Figure: p071150a A parabola is a non-central second-order curve. A radio telescope has a parabolic dish with a diameter of 100 meters. By … The base of the dish is the vertex of parabola. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. parabola. focal diameter (latus rectum) the line segment that passes through the focus of a parabola parallel to the directrix, with endpoints on the parabola parabola the set of all points [latex]\left(x,y\right)[/latex] in a plane that are the same distance from a fixed line, called … What is the diameter of a parabola? Question: How to find the focal diameter on a parabola? The red point in the pictures below is the focus of the parabola and the red line is the directrix. It is always parallel to the axis of the parabola. Given the parabola equation y-23/4=-1/3(x-1)^2, Sal finds the parabola's focus and directrix using the general formula for a parabola whose focus is (a,b) and directrix is y=k. Wiki User 2010-09-24 17:34:04. It is the bisector of any 2 parallel chords drawn to the. Half the diameter at a HEIGHT of 2 feet gives the two points (6,2) and (-6,2). A diameter of a parabola is any straight line parallel to its axis, and can be defined as the locus of the midpoints of a set of parallel chords. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries.

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