III. Transform the equation of the parabola to the standard vertex for: completing the square. 16. —х? — 2х +y+7%3D0 17. х* — бх — у +9%3D0 18. -y? + 8y +x+12 = 0 19. x = y? + 4y –- 10 |

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex:…

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Compute the length of the latus rectum of the parabola y2 + 8x – 6y + 25 = 0.

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Q: 8) Find the equation of the parabola in vertex form. (A) y=3(x-2)2+2 (B) y-3(x-2)2-2 (C) y-3(x+2)2+2…

A: Topic - equation of a parabola A parabola is a conic section made by the intersection of a right…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

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

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Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

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: 3. (a) Find the vertex of the parabola y 2a2 – 3x + 5. %3D (b) Find

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Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

Q: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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Q: What are the coordinates of the vertices of the hyperbola? (z+4) (y-5)? = 1 25 4 Enter your answer…

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Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: Find the equation of the Hyperbola whose Foci are at (7,9) and ( 35,9),and the length of its…

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Q: many pounds each of French and Viennese blend can she make so as to have no waste? *5. Find the…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

Q: What is the axis of symmetry of the parabola y=1/4x^2−14x+28?   A. y=28 B. x=7 C. x= -14 D. x=28

A: Given y=14x2-14x+28

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: 8: Which one of the following conics is a parabola? 22 + y + 5 = 4æ B 222 + y? = 4x +4 4r – 9y? +…

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Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

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: Find the area of the largest rectangle with the lower base on the X-axis and the upper vertices on…

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Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: Given a parabola with vertex at (8,-4) and focus at (-4,-4), determine the equation of the parabola.…

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Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: 11. Which of the following is the standard form of the equation of a parabola with a horizontal axis…

A: 11.    Standard form of the equation of a parabola with a horizontal axis of symmetry is given by:-

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

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Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

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Q: Which of the following is the standard form of the given parabola? * 2y2 -x-8y-8 = 0 G +2)? = (x+ 8)…

A: First we check option 1 and then solve it.

Q: d the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.)…

A:

Q: Given the general form of a parabola x2+8x-28y+10=0, what is the y coordinate the vertex? k=_____.…

A: Given that the general form of a parabola is x2+8x-28y+10=0 . Here we have to find the y coordinate…

Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Express your final answer in Mdx + Ndy = 0 1. Parabola whose vertex is at point P(13, 60).

A: The given data is: 1. Parabola whose vertex is at point P (13,60), Express your final answer in…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: At the points of x-intercepts, y coordinates are 0, as along x-axis y=0.

Q: 2 Determine whether this is a parabola: y = 2x + 8x + 5. Parabola Not a parabola If it is a…

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Q: d. Find the equation of the vertical parabola that passes through the points: A = (6, 1), B = (-2,…

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Q: 6. After a reflection in the x-axis, the parabola y =x -4 would have the equation (1) y=x²+4 (3)…

A: Reflection in x axis

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). I If the parabola is…

A: Let's see a concept of stretch of function y=f(x). Say y = f(x) is parent function.