What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel to the x-axis, and y - intercept 1?

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 vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

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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: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Standard form of the parabola is:  Where (h,k)= vertex  p= distance between vertex and focus

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: What are the Vertex and Axis of Symmetry of the parabola in the diagram below?

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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: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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Q: Determine the equation in standard form of the parabola that satisfies the given conditions…

A: Given that :

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

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

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Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

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

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Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

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: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

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: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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

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Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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Q: What point on the parabola y=(6−x)2 is closest to the point (6​,6​)?

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Q: Find an equation for a parabola with vertex (3, – 6) and focus (3, – 1) -

A: We have to use general equation of parabola.

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: We have to find the vertex

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

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

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Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−4,2),…

A: Let the vertex V (-4,2) of the given parabola is left to the focus F(-4,-1) of the parabola. The…

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10- Vertex…

A: Parabola Question

Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

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Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

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: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below?

A: follow next step

Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: · Write an equation for the parabola with vertex at (4, –1), opening upward, and with a vertical…

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Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

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Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

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Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

Q: 2. PARABOLA VERTEX = (2, FOCUS = (1,

A: Given vertex=2,1 and focus=1,1 We have to find the equation of the parabola. We can see that the…

Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

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: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

Q: Find an equation of the parabola with vertex (2, – 3) and focus (2, – 5).

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