Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: If the axis of parabola is y = 1, then the parabola is horizontal. As we know that the standard…

Q: The x-axis and the y-axis are asymptotes of the equilateral hyperbola whose equation is xy = 9. Find…

A: Given: xy=9 we know that length of transverse axis and conjugate axis is equal for rectangular…

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

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Q: Find the standard form of the equation of th parabola with: and Focus (-2, 6) Directrix X = 8

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Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: equation of parabola:-

Q: Solve for the equation of the parabola described. Vertex at (2,4); focus at (2,-1)

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

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Q: Write the equation for the hyperbola with foci (1,-5), (9.-5) and conjugate axis of length 6. (x-…

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Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given:Vertex=0,0Directrix y=-3Equation of parabola:x-h2=4py-k

Q: find the coordinates of the foci and vertices, the endpoints of the transverse axis, conjugate axis,…

A: Given:- x9/9- y2/25=1 To find:- find the coordinates of the foci and vertices, the endpoints of the…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Find an equation for the parabola that has its vertex at (1, 2) and its focus at (4, 2).

A: The vertex of the parabola is the point of intersection parabola with its axis. The general form of…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: To find the equation for the parabola that has the vertex at the origin and satisfies the given…

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: Show that the graph of an equation of the formAx2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0where A and C are…

A: Consider the given equation Ax2+Cy2+F=0, A≠0, C≠0, F≠0 A and C are opposite in sign. So,…

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: Find the standard form of a parabola with the following properties: Center at the origin…

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Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Here we find the equation of parabola.

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

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Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given-  Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: Find the standard equation of the hyperbola that satisfies the conditions.

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Q: What are the coordinates of the end points of the latus rectum of the parabola with equation a - 2z…

A: What are the coordinates of the end points of the latus rectum of the parabola with equation…

Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: Which is the corresponding equation of the hyperbola with foci located at (-8, 0) and (8, 0) and a…

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Q: Find the equation of Hyperbola using only the following information: Center at (0, 0) Vertices at…

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Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: Fid the equation of the tanget to the parabola  x2 - 22x + 24y +169 = 0 at  the point whose focus…

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Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: What is the equation of the parabola with a vertex at (4.8) and a directrix at y = 53

A: This is a simple question based on conic section (Topic is parabola) before attempting this question…

Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (2, 0)

A: General equation of horizontal parabola is given by -y-k2 = 4px-h             ..........(1)where, h,…

Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: The parabola has focus (0,-2) and directrix y=2.

A: equation of parabola with focus ( a , b ) and y = c  is given as below : here a = 0 b = -2  c = 2

Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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Q: Which is the corresponding equation of the hyperbola with foci located at (−8, 0) and (8, 0) and a…

A: Given data is : Foci are -8,0 and 8,0 The transverse axis is 14 unit

Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…

A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…

Q: Find the standard form equation for a hyperbola with vertices at (0, 21) and (U, y = 74 T

A: Given :Vertices : 0, 21 and 0, -21y=74x

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.