Locate vertex, focus, and the directrix of the following equations of parabola. x2 = -8y  y2= 4x +8

Q: find the equation of the parabola with the given  Focus (−2, 0), vertex (2, 0)

A: We have to consider the parabola with vertex V whose coordinates with respect to XOY system is 0,0…

Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: find the equation of the parabola with the given properties.  Vertex (0, 0), focus (0, 2)

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. (x+5)² (y-4)² = 1 16 4 +

A: Given: x+5216+y-424=1

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Vertex: (5,…

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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 an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: find the equation of the parabola with the given properties. Vertex (0, 0), focus1/12 , 0

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Q: Find an equation of the parabola with vertex (3,4) and focus (3,6)   .

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Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (3,…

A: The standard form of a parabola equation is given by y-k2=4px-h with vertex h,k and focus h+p,k The…

Q: Find the focus and directrix of the parabola with the given equation. 4) 9x2 = -5y

A: Compare standard equation of parabola

Q: Describe the part of a hyperbola given by the equation.

A: A hyperbola is a type of conic section formed when a plane cuts a right circular cone. Consider a…

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (6,…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (x - 2)2 = 8(y - 1).…

A: Given: x-22=8y-1. for finding vertex, focus and directrix we compare given equation of parabola with…

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

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Q: 9x2 +4y2 + 36x - 24y + 36 = 0 %3D 9x2-9y2 + 36y - 72 0 %3D

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+1)² =2(x- 5)

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Q: Write the equation into the standard form of the equation of the parabola y² – 2y = 8x – 1. Locate…

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

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the…

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

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Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

Q: Find the equation of the parabola with the given properties Vertex (0,0), focus (5, 0). = x

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Q: Find the standard form of the equation of the parabola with the given characteristics.  Vertex: (2,…

A: To identify the type of the parabola, plot the point of its vertex and focus on the cartesian…

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

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Q: Find the vertex, focus, and directrix of parabola with the given equation x2 - 4x - 2y = 0. Then…

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Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. −4x +…

A: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.…

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (5, 4)…

A: It is clear from provided data that the vertex and the focus both are in a line which is parallel to…

Q: 1) Find the focus, vertex, direction of the parabola and directrix of the following equations: a) y…

A: To find the Focus, vertex , direction of the parabola and directrix a) y2=4x Direction of parabola :…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Vertex: (2,…

A: Given: Vertex is (2, -3) Focus is (2, -5)

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, focus, and directrix of the parabola. x2 +2x - 12y + 25 = 0

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Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex:  (4,…

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Q: Find an equation of a parabola that satisfies the given conditions. vertex (0,0), focus (2,0)

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Q: graph the parabola  and determine the focus, vertex and directrix  (3y - 6)2 = 36(x - 2)  x2 + 6x…

A: As we know that the the standard equation of the horizontal parabola is: y-k2=4px-h Where:  Vertex:…

Q: Find the vertex, focus, and directrix of the parabola with the given equation, y2 - 4x - 10y + 21 =…

A: first we will write it in the general form which is (y-h)2=4a(x-k) where (k, h) are the vertices…

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: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

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Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (2,…

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Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Find the vertex, focus, foci and directrix of the parabola (x-6)^2+8(y+7)=0 and sketch its graph

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Q: Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?–…

A: (7) Rearrange the equation in the general form of hyperbola and determine the vertices for the…

Q: Find the equation of the parabola with focus (2, –1) and vertex (2, 3).

A: Given; Focus (2,-1) and vertex (2,3).

Q: Find the vertex, focus, and directrix of parabola with the given equation y2 - 4x - 10y + 21 = 0.…

A: y2-4x-10y+21=0⇒y2-10y=4x-21⇒y2-10y+25=4x-21+25⇒y-52=4x+4⇒y-52=4x+1⇒y-52=4x--1 Now comparing with…

Q: Convert the equation 9x2 + 25y2 - 36x + 50y - 164 = 0 to standard form by completing the square on x…

A: Consider the given equation, 9x2+25y2-36x+50y-164=0 complete the square on x and y as follows,…

Q: Find the vertex, focus, and directrix of the parabola with the given equation, y2 = 8x. Then graph…

A: Given equation, y2 = 8x                  ...(1)

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

A: Given vertex is (-3,0) and focus is (-1,0) find the standard equation of parabola

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

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