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distance formula of parabola. The distance from to the focus is by the distance formula. You can understand this widening effect in terms of the focus and directrix.
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The general formula for a parabola in this situation is 4py x2. How do I find the distance between two points on a parabola. These are the intersections between the parabola and the chord.
Here h 0 and k 0 so the vertex is at the origin.
Xh2 4pyk x - h 2 4 p y - k. Because the y-coordinate of the focus is greater than the y-value of the directrix the graph opens up. Equate these two distance equations and the simplified equation in x 0 and y 0 is equation of the parabola. A parabola with equation.
