Find the coordinates of the vertex and equation of the axis of symmetry for the parabola

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

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

A: y=-3x2-18x-39 The graph is,

Q: find the equation of the parabola with the given properties. Vertex (0, 0), focus ( 1/12 , 0)

A: The locus of points whose distance from fixed point is equal to its distance from a fixed line ,…

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

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Q: Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. 16x2+9y2-98x + Sy+224 = 0…

A: Given

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

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Q: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

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

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Q: The vertex of the parabola given by the equation x2 = 20 V is

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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: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

A: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

Q: give equations for parabolas and tell how many unitsup or down and to the right or left each…

A: We have given equation of parabola is y2=4x Graph shifted left side by 2 units, that means there is…

Q: Convert the equation x2 + 8x - 4y + 8 = 0 to standard form by completing the square on x or y. Then…

A: We have the given equation as x2+8x-4y+8=0 Since y is not squared in this equation, we know that the…

Q: Plot the given parabola on the axes. Plot the roots, the vertex and two other points.

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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: Use the given information to write the equation of the parabola.

A: Since the directrix is y=3, So then the foci will be (0,-3).   Find equation of parabola on y- axis:…

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

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Q: Find the equation of the parabola

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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: the

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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: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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Q: Find the vertex, focus, and directrix for the parabola.

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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: 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 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: State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 4x² – 3x – 8y?…

A: x2-3x-8y2-4y=14 The x2 and y2 terms have different signs and different coefficients. So, it is a…

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

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Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

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

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Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Find an equation of the parabola that satisfies the following conditions Vertex V (-3,5), axis…

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Q: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

Q: write the equation of a parabola that opens upwards and has the vertex (1, 1) that passes through…

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Q: if the radio signal travel at a speed of 980ft/ms , find an equation of the hyperbola on which the…

A: Consider points A & B are two sending station and K is the of the ship, and suppose two-point be…

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

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

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Q: By completing the square, find the standard form of the equation of the parabola: y = x^2 + 6x + 7…

A: y=x2+6x+7 On simplification, we get y=x2+6x+9-2⇒y=x+32-2

Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

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

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.