Find an stondoud 'form the directrix is o x= -3 and the focus is eavotion of the parabola in (2,0)

Q: 2) Write the equation of the parabolas with the following characteristics (a sketch might help) a)…

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Q: Give the equation of the parabola with focus F (0; 2)  and directrix y = -2 . Give an equation of…

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Q: 7) Determine the shape of the I point parabola with focus F(2,5/2) and directrix line y=7/2. *

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Q: What is the directrix of the parabola? (x + 3)² = 8 (y – 1) y = 3 O y = 2 O y = 1 O y = -1

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Q: the line X-y+2 touches the Tarabola %3D x find the Focus of the Parabola

A: Focus of parabola is given as (y-k)2 = 4*a*(x-h) where,

Q: Find the point(s) on the hyperbola y^2 − x^2 = 4 that is (are) close to the point (2, 0

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Q: A parabola can be drawn given a focus of (1, –1) and a directrix of y = 1. Write the equation of the…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Equation:  y = -…

Q: Find an equation of the parabola that has a focus at (2, 16) and a vertex at (2, 8): Y = Find an…

A: Parabola is a U-shaped curve and it is part of a conic section.  The focus of the parabola is the…

Q: Any point on the parabola can be labeled (x, y), as shown. 7 6 |(-3,3) (-3, 2} -6 -5 -4 -3 -2 -1, 2…

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Q: Use the Distance Formula to show that the equation of the parabola with focus F(0, 2) and directrix…

A: Given:            Focus of parabola is : F(0,2)Directrix is:​y=−2.

Q: 4. PARABOLA Focus : (3,2) FOCUS : DIRECTRIX: X=-3

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Q: Parabolas with axis parallel with the y-axis and with distance from vertex to focus fixed as a. Ans.…

A: The given problem is to find the differential equation for the given parabolas with axis parallel…

Q: The directrix of a parabola is x = 0. Its focus is (2, 6). What is the standard form of the…

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Q: 14. Find an equation for the parabola with directrix at r= -1 and focus (5, 1).

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Q: 12.) For the parabola y=-- -x², determine the focus. 4. a) (-1,0) (b) (0,–1) (c) (-4,0) (d) (0.-4)…

A: We can find the coordinate of center from the equation of parabola as below

Q: Find the equation of a parabola that has focus at (−4,0) and directrix x=2

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Q: The Dufferin Gate is a parabolic arch that is approximately 20 m tall and approximately 22 m wide.…

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Q: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

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Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: The parabola in the image has its focus at (4,3). It’s directrix is the line y=1. The point (8,6) is…

A: Given that focus is (4, 3) and directrix is the line y=1 and point (8,6) is on the parabola.

Q: How many derivations are required to find the DE for parabolas with axis parallel to the x-axis and…

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Q: Find the equation of the parabola described. Directrix the line y=3; vertex at (0,0)

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Q: Find an equation of the parabola that has a focus at (4, 10) and a vertex at (4, 4): y = Find an…

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Q: The function of f(y) is a "sideways" parabola with a standard equation of SW) = ay² + by + c, f(G)…

A: Given: Focus of Parabola:  (2, 6) Equation of Directrix:  x = -15

Q: Find the parabola's focus and directrix. Then sketch the parabola. x = 16y %3D

A: The standard form of parabola is x2=4ay. Now focus of this parabola is given by     (0,a) and…

Q: ind the equation of the parabola with focus of (1,-1) and directrix of x=3.

A: Explanation: Given that,  Focus is (1,-1)  Directrix: x=3   To find the vertex of the parabola, we…

Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: Any point on the parabola can be labeled (x, y), as shown. 7. 6 5 |(-3,3) 3 (-3,2) -6 -5 -4 -3 -2 -1…

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Q: 4) The parabola y= x is shown here (below left). the alse Describe how to change the parameters of y…

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Q: 4) The parabola y= x is shown here (below left). 7 the ansarer Describe how to change the parameters…

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Q: Using the graph, determine the coordinates of the roots of the parabola. 10 6. 6 10 "4 t3 -2 6. -2…

A: we have to determine the coordinates of the roots of the parabola  from the given figure.  For this…

Q: variable circle through the origin and touching the hyperbola xy = c

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Q: Delermine an for the Parabola faces (3,2) and directrx 4- eqoation with.

A: The parabola has the equation (x - h)2 = 4p(y - k) where (h,k) is the vertex, p is the…

Q: Considering the statements below, classify them as true (V) or false (F): I. About the parabola of…

A: # the equation in II is not clear, Therefore solving I part . the equation of parabola is y-22=-4x+1…

Q: 4. The base is the ellipse 4> cross section is a semici the x-axis.

A: Given ellipse equation is  4x2+y2=1 Solve for y y2=1-4x2Take square root on both sidesy=1-4x2 The…

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+1) =-3(x-3) Vertex: ()…

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Q: The graph of y = x° is called a semicubal parabola. Determine the constant b so that y = -x+b meets…

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Q: The directrix of a parabola is x= 0. Its focus is (2,6). What is the standard form of the parabola?…

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Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25…

A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn.  Let a>b. Then…

Q: equation of the parabola whose focus is located at (9,8) and the equation of directrix is x= -2 ect…

A: let P(x, y) be the point on the parabola having the focus S = (9, 8) and the directrix is x = -25…

Q: 10. focus of parabola X-12y is 1- (6,0)

A: Here we have to find the focus of the parabola,  The given parabola is X2=12y .............. (1)

Q: Vertices at (0,1) and (0, -1); asymptotes are the lines x = +3y

A: It is given that the vertices of the hyperbola are (0,1) and (0,-1) and the asymptotes are x=±3y.…

Q: Find an equation of a parabola with focus at (−2,0) and with directrix x=9(Express your answer in…

A: Given that the parabola has the following details:

Q: Describe the graph of the equation. r = 8sin 14ti – 8cos 14tj O It is a parabola in the xy-plane,…

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Q: A parabola has a vèrtex at the origin and a focus of (0, 3/2). What is the equation of the parabola.

A: The general equation of a parabola with vertex at origin is given by y2=4ax. The distance between…

Q: Find the parabola's focus and directrix. Then sketch the parabola. 2= - 8y %3D

A: The standard form of equation of parabola is (x-h)2=4p(y-k) where (h,k) is the vertex. The focus of…

Q: 7) Determine the shape of the parabola with focus F(7/2,3) and directrix line x=1/2. *

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Q: Considering the statements below, classify them as true (V) or false (F): I. About the parabola of…

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Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at r %3D 24…

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