Find the vertex of a parabola that has its focus at (6,6) and whose directrix has the equation y = - 2. The vertex is at (Type an ordered pair, using integers or fractions. Simplify your answer.)

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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Q: The focus of the parabola y^2 = 4x is at

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Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

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Q: Which of the following equations represents the parabola with vertex at (3, 2) and directrix y = 4?…

A: To find out the equation of the parabola.

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

A: From the given diagram, it is clear that vertex, (h,k) = (2,6) and the distance from x-axis is p=2…

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: Find the equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

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

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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: 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: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

A: Given:             y2+2y+4x-7=0 Parabola standard equation 4px-h=y-k2 is the standard equation for a…

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 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: Find the vertex and focus of the parabola from the given equation and select its graph. ²+16y = 0

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Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

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Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

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

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

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

Q: Find the vertex, focus, and directrix of the parabola x2 + 4x + 4y − 4 = 0, and sketch its graph.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The equation of the parabola whose vertex is located at (0,0), and its focus is (3,0), is Select…

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

A: Since the parabola is symmetric to the y-axis and has vertex at the origin, The equation of the…

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

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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: 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: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

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Q: Consider the equation of parabola y = 5x - 30x + 45. %3D Its vertex is located at (

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Q: Find the vertex, focus, and directrix of the parabola y2 − 4y − 4x = 0, and sketch its graph.

A: Consider the equation of parabola, y2-4y-4x=0 Find the vertex, focus, and directrix of the parabola.…

Q: The center of a circle is the vertex of the parabola y2 + 24x−12y + 132 = 0. If the circle…

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Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

Q: Find the vertex, focus and endpoints of the latus rectum of the parabola  4y^2 - x + 2 y = 0

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Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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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 vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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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 location of the focus of the parabola x2 – 6x – 12y – 51 = 0  is at a. (2, -3)           b.…

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Q: Find the vertex, focus and directrix of the parabolas whose equations are as follows: y2 + 6y + 8x +…

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Q: Find the vertex, focus, and directrix of the parabola y2 + 6y + 8x + 25 = 0, and sketch its graph.

A: Parabola:         y2+6y+8x+25=0=>y2+2.3y+9+8x+16=0=>(y+3)2=-8x-16=>-(y+3)28=x+2

Q: Find the equation for the parabola that has its focus at (-53/4, -7) and has directrix x = 5/4.

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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: Find the vertex Focus and divertrix to given the parabola x2 +6x+8y+25-0

A: The given equation is: x2+6x+8y+25=0 That can be written as…