Write the equation for the parabola. Vertex: (1,- 2); Focus: (1,- 4) An equation for this parabola is

Q: Write an equation in intercept form of the parabola that passe intercepts -2 and 4. y%3D

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

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

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Q: Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening…

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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: 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: Convert the equation y2 - 2y + 12x - 35 = 0 to standard form by completing the square on x or y.…

A: Consider the provided parabola equation, y2-2y+12x-35=0 Find the vertex, focus, and directrix of the…

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the given equation of the parabola  y=x2-2x+4

Q: Graph the parabola: the vertex, two points to the left of the vertex, and two points to the right of…

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Q: Write the equation of the parabola in standard form. Vertex: (-3, -4); The graph passes through the…

A: Standard form of a parabola: (x-h)2=p(y-k)2        ...(1) Where (h, k) is vertex of parabola.

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: Using the graph, determine the coordinates of the vertex of the parabola. 10 -4

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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: What is the equation of the parabola given:  vertex at (-5, 1) and focus at (-5, 0.5) ? Write the…

A: Given, Vertex at (-5, 1) Focus at (-5,0.5) We know that the vertex form of the parabola is,…

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

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

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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: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: vertex: (– 2, 5); focus: (- 2, 6)

A: Given problem:- What is an equation of a parabola with the given vertex and focus ?  Vertex (-2, 5)…

Q: Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 5 10 (-3, –2) -5 -10f Step…

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

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Q: Write the equation of the parabola with the vertex (-4,2) and the directrix y=-3

A: Since directrix is vertical hence equation of parabola opens up or down can be given as  (x-h)2 =…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: Identify the equation as a parabola, circle, ellipse, or hyperbola. (x - 7)2 = 9 – y2 O A. Hyperbola…

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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: 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: A soccer ball is kicked into the air. Its height above the ground is described by the equation y = −…

A: Given y=-16x2+48x

Q: y = 3x² + 6x – 5

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

Q: (a) What are the coordinates of the vertex of the parabola? Use of the grid below is optional. (b)…

A: We are given directrix y=4 and focus (-1,-2). We will use basic definition of the parabola to find…

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

A:

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 an equation of the parabola with vertex (-4,-5) and focus (1,-5)

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

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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: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 4x…

A: Solution is given below:

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 3) point for the graph of the parabola whose equation is y=…

A: Turning point of parabola (vertex)

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: The solution of the problem is given in the next step.

Q: Using the graph, determine the coordinates of the vertex of the parabola.

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

A: Use the value of vertex and focus for finding the equation of parabola .

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.