Determine: the vertex, the focus, an equation for the guideline, an equation for the axis, and the sketch of the graph of the equation parabola given below. y^2 + 10y + 31 - 6x = 0

Q: Find an equation for a parabola with vertex (5, 6) and focus (5, 1) Question Help: Video 1 D Video 2…

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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: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: given equation: -x2=y2-25

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: 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: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = -2x2 -…

A: The standard form of one of the parabola is y=ax-h2+k where the vertex of the parabola is…

Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

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Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: Find the equation of the parabola with vertex: (-6,8) and focus: (-10,8)

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 13x+2=y2

Q: What is the y-intercept of the graph of the parabola whose equation is y = x² – 2x- 8? A (4,0) B…

A: The point where a line or curve crosses the y-axis of a graph.  In other words: find the y value…

Q: What is an equation of a parabola with the given vertex and focus? vertex: (-2, 5); focus: (- 2, 6)

A: Use standard form of parabola

Q: Write the equation for a parabola with axis of symmetry: x=3, focus: (3, -1) and directrix: y=-7.

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

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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: Which of the following is the vertex of the parabola represented by the equation y+5= 6(x - 6)??…

A: the vertex form of a quadratic equation is y=a(x−h)2+k. parabola's vertex: (h,k).

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: 9x2 - y2 = 10 - 2y

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: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

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

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

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Q: Vertex: (6, –8), Focus: 4

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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: 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: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 4x2 - 16x + 9y2 + 36y = -16 We have to identify the given conic equation.

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: the given equation is: x2+6x-y2=7 we have to identify the graph of the given equation as a parabola…

Q: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3  &  k=7 Focus…

Q: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

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Q: Which equation represents the axis of symmetry of the graph of the parabola below? y 25 -5 -25

A: Coordinate geometry

Q: Determine: the vertex, the focus, an equation for the guideline, an equation for the axis, and the…

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Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+2)² = - 5(x-4)

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given that, y2=143-x2

Q: Write the equation of the parabola with vertex (4, -2) and focus (4,4)

A: To find the equation of the parabola

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 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: Graph the parabola. Label the vertex, axis, and intercepts in each case. y = x2 - 2x - 3

A: To find the vertex  So vertex is (1,-4) And axis is x=1

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

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

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Q: ntify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix,…

A: We have given equation of parabola.

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

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Q: Give a step-by-step description of how you would help someone graph the parabola y = 2x2 - 12x + 9.

A: The parabola is y=2x2-12x+9

Q: Write the equation of a parabola whose directrix is y=7.5 and has a focus at (−3,8.5)

A: Parabola is the locus of all those points which is equidistant from both Directrix and focus. let…

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: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 - 6x - 5

A: Given:

Q: e the vertex of the parabola whose equat

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

Q: What are the coordinates of the turning point of the parabola whose equation is y=x² - 2r - 4? A)…

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: x+4=y2+y

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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