The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the parabola? Enter your answer by filling in the boxes.

Q: Find the equation of the parabola in general form with vertex (-1,2) and focus (-1,–2).

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Q: The equation of the Family of Parabolas with vertex (h,-3) and it opens to the left is

A: We use the equation of the parabola when open the left and vertex are (h,k) is (y-k)2=4a(x-h)

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: -10 -5 10- 5- 0 --5- -10- 15 (0,-16) 5 10

A: We have given curve of parabola.

Q: Find the equation of the parabola with vertex: (-6,8) and focus: (-10,8)

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Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: 5. What point is the vertex of the parabola?

A: The vertex of a parabola is the point where the parabola crosses its axis of symmetry.   If the…

Q: Find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

A: we have to find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

Q: The is the lowest point of a parabola that opens up and the highest point of a parabola that opens…

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Q: The equation of the parabola which opens up, vertex (-3, 4), and the length of latus rectum is 8…

A: Given that 8)  parabola open up with vertex (-3,4) and length of latus rectum is 8 9)  the parabola…

Q: Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the…

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Q: What is the vertex of the parabola (y - 1)2 = 16x?

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Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: Write an equation for the parabola with a vertex at the origin and focus (5,0).

A: Since the vertex and focus are on the x-axis. So the standard form will be: Given that the vertex=…

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: find the standard form of the equation. characleristics of the parabola with the verlex: (2,-7)…

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Q: Write an equation of a parabola with a vertex at the origin and a focus at (4, 0)

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Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

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Q: the

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Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

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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: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus…

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Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

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

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Q: 2. If you are given the standard form of the equation of a parabola with vertex at the origin,…

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Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: Is and directrix of the parabola: (y-7)²-6(x+9)

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Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: Find an equation of the parabola with vertex (2, −3) and focus (2, −7).

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

Q: Write the standard form of an equation of a parabola with vertex (h, k) and horizontal axis of…

A: The standard form of the parabola, if the parabola is vertical:

Q: 3.

A: The equation of parabola in vertex form is : y = a*(x-h)2 + k where, vertex : (h, k)

Q: Determine the equation of the parabola with vertex (–8, 10) and that passes through (2, 18). Explain…

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Q: Find the standard form of the equation of the parabola with vertex (3, −4) andfocus (6, −4).

A: Given that, the vertex of a parabola is (3, −4), and its focus is (6, −4). Since the focus (3, −4)…

Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: Find an equation of the parabola (in general form) given the following condition: Vertex (5, 2),…

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Q: Write the equation for a parabola with vertex: (-2, 4) and directrix: x= -3

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Q: Consider the parabola y = -3x2+42x-150.  What is the vertex (-7,-3) (-7,3) (7,-3) (7,3)

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Q: Determine the vertex of the parabola. y = -2(x - 5)2 + 2

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Q: Write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and passes…

A: To write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and…

Q: Find the standard form of the equation of the parabola with the given characteristics vertex (-4,2)…

A: Given: Vertex =-4,2 Focus =-4,0 Since the x-coordinate of vertex and focus is the same. Thus this…

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3, 5)

A: Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It…

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and (-10,…

A: Here it is given that vertex of the parabola is (0,0) and y-axis as its axis,

Q: The coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…

Q: What are the vertex and axis of symmetry of the parabola y = x2 - 16x + 63? O A. vermex: (-8, 1);…

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