IV. Find an equation of the parabola given the following conditions: 10. Vertex (-3, 2), directrix x =1 12. Vertex (5, 2), axis vertical and passes through (4, -2)

Q: What is the equation of a parabola with vertex at (0,0), opens to the left and the length of latus…

A: Explanation: Given that,  Vertex of the parabola is (0,0) and the length of the Latus Rectum is 6…

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

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

Q: 14- 5y'+ 8x + 30y - 54 = 0

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Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

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

A: The standard equation of open downward parabola having vertex at (h, k) and focus at length “p” from…

Q: Find the equation of the hyperbola with center (o, o), a vertex at (5, o) and an extremity at (o,…

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Q: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

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

A: Given: Focus: F0,-34 To Find: Equation of the parabola that has vertex at the origin and satisfies…

Q: _6. Write the equation of the parabola with vertex (4, –2) and focus (4, 4). A. (x – 4)² = 16(y + 2)…

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

A: Given: Opens downward with focus 10 units away from the vertex.

Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

Q: 17. If the focus of the parabola is (-2, 1) and the directrix has the equation x + y = 3 then the…

A: Given Focus of parabola f (-2, 1) Equation of directrix is x+y =3   Here the objective is to find…

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 an equation for the parabola with vertex V(0, 0) and Focus F(0, 2), and sketch its graph.

A: We have given vertex V0,0 and focus F0,2. Given the vertex of the parabola is V0,0 and focus is at…

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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

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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: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (±1, 0),…

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

A: Given: Focus on the negative y-axis, 6 units away from the directrix

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

A: It is given that the Vertex is V(0, 0) The focus is on the positive x axis, 2 units away from the…

Q: 4x + y2 + 8y + 8 = 0   If it is a parabola, find the vertex, focus, and directrix.

A: As a first step we will convert the equation in the standard form of equation representing a…

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: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

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

A: find the equation of a parabola vertex=(0,0) and directrix x=-4

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

A: Given- The parabola that has its vertex at the origin and satisfies the given condition(s).…

Q: 13.2y – x = 4

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Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: Find the standard equation of the hyperbola with the stated conditions. Vertices at (2,-5) and…

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Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

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Q: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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 equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

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Q: See attached

A: To identify the vertex and the four points of the parabola as required, in order to graph it

Q: 19. What is the equation of the horizontal asymptote for this hyperbola ? y = (6x + 8) / (3x - 2) *

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Q: Find the equation of the parabola that is symmetric about y axis with vertex at the origin and…

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Q: What is the equation of parabola with vertex at (-2,0) and focus at the intersection point of the…

A: Given: (x+2)^2=-16y-64 and (x+2)^2=16y+64

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

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Q: Two parabolas are given: - C₁ is the curve of intersection between y = 1-2² and 2 = - C₂ is the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: What is the standard equation of the parabola which satisfies the following properties: V(-4,2),…

A: Let's find.

Q: 4) Find the equation of a parabola which has the focus at (2,9) and the directrix at x=10.

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Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

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