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How to Find Equation of a Parabola  Sciencing
https://sciencing.com/equationparabola8270029.html
Remember, if the parabola opens vertically (which can mean the open side of the U faces up or down), you'll use this equation: y = a (x  h)2 + k . And if the parabola opens horizontally (which can mean the open side of the U faces right or left), you'll use this equation: x = a (y  k)2 + h .
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Equation of a Parabola 1  YouTube
https://www.youtube.com/watch?v=JEnh4BsZ3Y4
Multivariable Calculus: Find the vertex, focus, and directrix of the parabola 72y + 12x^2  48x + 192 = 0. Then sketch the graph.For more videos like this...
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Parabola  General Equations, Properties and Practice ...
https://byjus.com/jee/parabola/
Apart from these two, the equation of a parabola can also be y 2 = 4ax and x 2 = 4ay if the parabola is in the negative quadrants. Thus, the four equations of a parabola are given as: y 2 = 4ax; y 2 = – 4ax; x 2 = 4ay; x 2 = – 4ay; Parabola Equation Derivation. In the above equation, “a” is the distance from the origin to the focus.
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Equation Of Parabola – Definition, Formula, Solved ...
https://www.vedantu.com/maths/equationofparabola
The general equation of parabola is y = x² in which xsquared is a parabola. Work up its side it becomes y² = x or mathematically expressed as y = √x Formula for Equation of a Parabola Taken as known the focus (h, k) and the directrix y = mx+b, parabola equation is [y  mx – b]² / [m² +1] = (x  h)² + (y  k)².
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Lecture 1: Equation of a Parabola 1  CosmoLearning ...
https://cosmolearning.org/videolectures/equationparabola1/
Multivariable Calculus: Find the vertex, focus, and directrix of the parabola 72y + 12x^2  48x + 192 = 0. Then sketch the graph.
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STANDARD EQUATION OF A PARABOLA  onlinemath4all
https://www.onlinemath4all.com/standardequationofaparabola.html
The parabola is open to the left with vertex at (2, 1). Standard equation of a parabola that opens left with vertex at (h, k) : (y  k) 2 = 4a(x  h) Vertex (h, k) = (2, 1). (y + 1) 2 = 4a(x  2) Distance between the vertex and focus is 3 units. That is, a = 3. (y + 1) 2 = 4(3)(x  2) (y + 1) 2 = 12(x  2)
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Find Equation of a Parabola from a Graph
https://www.analyzemath.com/parabola/FindEqParabola.html
Example 1 Graph of parabola given x and y intercepts Find the equation of the parabola whose graph is shown below. Solution to Example 1 The graph has two x intercepts at \( x =  1 \) and \( x = 2 \). Hence the equation of the parabola may be written as \( y = a(x + 1)(x  2) \)
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Parabola  Wikipedia
https://en.wikipedia.org/wiki/Parabola
Application: The 3points1tangentproperty of a parabola can be used for the construction of the tangent at point , while ,, are given. Remark: The 3points1tangentproperty of a parabola is an affine version of the 4pointdegeneration of Pascal's theorem.
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