Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x – 2)² + 6 8 = -- O f(X) = - (x - 2)² + 6 1 -(x – 2)² + 6 8. O f(x) -* + 2)? + 8 = - 1 O r0) = x + 2) -

Q: The focus of the parabola y^2 = 4x is at

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Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: 1 ,-8 5) /17 - V17 1- v17 1- V17 y = 2(x + 2 y = 2x 2 2

A: Given :           The vertex of parabola is V12, -812.  To find the equation of a parabola which…

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: 5. Figure Q5 shows the graph y = f(x) on the xy-plane. 54 -5- Figure Q5 (a) Does the graph above…

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Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

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Q: y = 3(x+4/3)^2 - 2 How can I determine the x and y intercepts for this parabola?

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Q: What is the effect on the graph of a parabola if it's equation in standard form has increasing value…

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Q: Obtain the graph of the parabola y = -x? + 4x using transformations of the graph of y = x². Explain…

A: Given,  y=x2To Obtain: y=-x2+4x using transformation

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.