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Focus of a Parabola - Varsity Tutors
https://www.varsitytutors.com/hotmath/hotmath_help/topics/focus-of-a-parabola
The focus lies on the axis of symmetry of the parabola. Finding the focus of a parabola given its equation If you have the equation of a parabola in vertex form y = a ( x − h ) 2 + k , then the vertex is at ( h , k ) and the focus is ( h , k + 1 4 a ) .
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Equation of a parabola from focus & directrix (video ...
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/xff63fac4:hs-geo-parabola/v/equation-for-parabola-from-focus-and-directrix
Well, we just apply the distance formula, or really, just the Pythagorean Theorem. It's gonna be our change in x, so, x minus a, squared, plus the change in y, y minus b, squared, and the square root of that whole thing, the square root of all of that business. Now, this right over here isan equation of a parabola.
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Focus & directrix of a parabola from equation (video ...
https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:parab-focus-directrix/v/finding-focus-and-directrix-from-vertex
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. If you're seeing this message, it means we're having trouble loading external resources on our website.
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Finding the Equation of a Parabola Given Focus and Directrix
https://www.varsitytutors.com/hotmath/hotmath_help/topics/finding-the-equation-of-a-parabola-given-focus-and-directrix
Therefore, the equation of the parabola with focus ( a , b ) and directrix y = c is ( x − a ) 2 + b 2 − c 2 = 2 ( b − c ) y
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Parabola Equations and Graphs, Directrix and Focus and How ...
https://owlcation.com/stem/How-to-Understand-the-Equation-of-a-Parabola-Directrix-and-Focus
Equation of a Parabola in Terms of the Coordinates of the Focus. Another way of expressing the equation of a parabola is in terms of the coordinates of the vertex (h,k) and the focus. We saw that: y = ɑ(x - h) 2 + k. Using Pythagoras's Theorem we can prove that the coefficient ɑ = 1/4p, where p is the distance from the focus to the vertex.
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Equation of parabola if vertex and focus is given
https://www.onlinemath4all.com/equation-of-parabola-if-vertex-and-focus-is-given.html
Equation of parabola if vertex and focus is given : Here we are going to see how to find the equation of the parabola if vertex and focus is given. Step 1 : First we have to draw a rough diagram based on the given information. From this we come to know that the parabola is symmetric about which axis and it is open in which side. Step 2 : Distance between vertex and focus = a. Step 3 :
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Find the Parabola with Focus (0,-2) and Directrix y=2 (0 ...
https://www.mathway.com/popular-problems/Algebra/918845
Find the Parabola with Focus (0,-2) and Directrix y=2 (0,-2) y=2 (0,−2) (0, - 2) y = 2 y = 2 Since the directrix is vertical, use the equation of a parabola that opens up or down. (x−h)2 = 4p(y−k) (x - h) 2 = 4 p (y - k)
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Parabola - Wikipedia
https://en.wikipedia.org/wiki/Parabola
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.. One description of a parabola involves a point (the focus) and a line (the directrix).The focus does not lie on the directrix. The parabola is the locus of points in ...
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