WebGiven the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2. Equivalently, you could put it in general form: x^2 + 2mxy + m^2 y^2 -2[h(m^2 - 1) +mb]x -2[k(m^2 + 1)^2 -b]y + (h^2 + k^2)(m^2 + 1) - b^2 = 0 WebSolved Examples. Example 1: Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola y 2 = 12x. Solution: Given equation of the parabola is: y 2 = 12x. Comparing with the standard form y 2 = 4ax,. 4a = 12. a = 3. The coefficient of x is positive so the parabola opens

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WebA parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is … WebOct 31, 2024 · If you draw a straight line from the focus to any point along the curve of the parabola, and then draw a straight line from that point to intersect at a right angle with … ヴァンパイアサバイバー 卵 mod

Focus & directrix of a parabola from equation - Khan Academy

WebQuestion: write the equation of parabola who is directrix is y=11and has a focus at(-8, 3) write the equation of parabola who is directrix is y=11and has a focus at(-8, 3) Expert … WebJun 27, 2024 · Answer: y = -1/10x^2 +2.5 Step-by-step explanation: The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values: -1 -4 = -5 So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. WebExploring Focus/Directrix relation to Graph. You probably know that the smaller a in the standard form equation of a parabola, the wider the parabola. In other words y = .1x² is … ヴァンパイアサバイバー ボスラッシュ 攻略