Find the standard form equation of the parabola with the given characteristics and a vertex at the origin. Focus: (0,-2)

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

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

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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: 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: Determine the equation of the parabola graphed below.

A: The graph is as shown below :

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 vertex, focus, directrix, and focal width of the parabola. x2 = 28y

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Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

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

A: To find the standard form of the equation of the parabola with the below characteristics. Vertex:…

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: Find an equation for the parabola with vertex (0, 0) and focus (6, 0).

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

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Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

Q: A parabola has a vertex at the origin and a focus of (0, - 7). What is the equation of the parabola.

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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 the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

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

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

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Q: Find the equation of the parabola in standard form with focus at (7, -6) and vertex 5 units at the…

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

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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 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: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

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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: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Find the equation of the parabola with the given properties Vertex (0, 0), focus (8,0).

A: According to the question the vertex is at (0, 0); h = 0 and k = 0   Since the vertex and focus lie…

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

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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: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

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 the vertex, focus and directrix of the parabola: (y-7)2-6(x+9)

A: Given equation of the parabola is: (y - 7)^2 = 6 (x + 9) (y - 7)^2 = 4. (3/2), (x + 9) The above…

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

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Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 5 Vertex…

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

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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: 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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