1. Consider the parabola whose directrix is at x = -7 and whose focus is at (-1, 1). What is the equation of its axis of symmetry? Where is its vertex? What is its equation in standard form?

Q: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

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Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: 1. Find the equation for the parabola that has its vertex at the origin and has directrix at y = 25…

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Q: Find the equation of the parabola with vertex at the origin and satisfies the condition: Focus…

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.

A: Let's find differential equation.

Q: In the xy-plane, if the parabola with equation y = ax² + bx + c, where a, b, and c are constants,…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 9. Write the equation of a parabola in standard form if the vertex is at (5, 0). And opens upward…

A: The parabola vertex (5,0) and focal length 10 units

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the DE for: Parabolas with axis to the x- axis and with distance from focus to  vertex…

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Q: What is the standard equation of the hyperbola if the length of its transverse axis is 12 and one of…

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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: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: Two stations that are 2 km apart receive a sound signal issued from a source located at point…

A: The distance between the point 0,-1 and the point P (x, y) is, d1=x2+y+12 The distance between the…

Q: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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Q: Find the point on the hyperbola xy = 8 that is closest to the point (3,0)

A: Given: xy=8 so, y=8x now any point of given hyperbola can be written as x,8x so, let's that point on…

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

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Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

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: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 27…

A: Given: y=-127.

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

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

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Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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Q: The orthogonal trajectory of y= Ce" is a parabola of the form y = ax+b. what is the value of b so…

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Q: - Find a parabola with equation y = ax? + bx +c that has slope 4 at x = 1, slope –8 at x = -1, and…

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Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

A: equation of parabola  (x - h)2 = 4p (y - k) where (h,k)=(0,0) vertex ordinates directrix y=3 , y= k…

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2. Ans: 2xy" -…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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: 9.  Find the shorted distance from point A(2, 1/2) to a point on the parabola y = x2. And find the…

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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: If a is greater than or equal to zero the equation of the parabola is of the form?

A: Parabola is a three dimensional curve, where any point is at fix distance from the point called…

Q: A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating…

A: Let's find how far from the vertex should the bulb be placed.

Q: 1. Which of the following best describes the graph of y = x? – 4x + 2? a parabola with a vertex at…

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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: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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Q: 1. Find the point on the parabola y = 3 – x² that is closest to the point (6, 0).

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Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at a The…

A: Given that, Vertex of the parabola are, (h, k) = (0, 0) And diretrix of parabola is x = - 12 We have…

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 standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Finding the equation of parabola

Q: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

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Q: 7) Find the standard form of the equation for the parabola with vertex (1,2) and directrix y -1.

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