Vertex: (6, –8), Focus: 4

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

A: given equation: -x2=y2-25

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

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Q: Find an equation of the parabola whose graph is shown. y Focus 2 7 2

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

A: Given equation is: x2 + 3x = 3y - 6 x2 + 3x + 9/4 = 3y - 6 + 9/4 x+322=3y-154⇒x+322=3y-54…

Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

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Q: Find an equation of the parabola whose graph is shown. y 7 Focus 2 X 7 2

A: if focus of the parabola (-a,0) then equation of the parabola y2 = - 4a x

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 following properties. Express your answer in standard…

A: Given query is to find the equation 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: Graph the parabolas. Label the vertex, axis, and intercepts in each case.y = 1/2 x2 + x + 4

A: Given: y=12x2+x+4  ……1

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: Write the equation of a parabola whose directrix is 0.25 and has a focus at (– 2, 5.75). -

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Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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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: 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: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 31.2x = y

A: The equation of a parabola y2=-31.2x Comparing with the standard equation y2=4ax4a=-31.2a=-7.8 Focus…

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

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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: Graph the parabola, then label the vertex, axis, and intercepts. 1 x²+2x + 4 4 Y = -

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Q: Using the graph,determine the coordinates of the y-intercept of parabola

A: Introduction: A parabola is a conic section whose eccentricity is less than 1. A parabola is either…

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

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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: 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: 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: Write the standard form equation for each parabola described A. Focus (8,0),directrix x=-8 B. Vertex…

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

A: Given, Vertex = 1, -2 Focus = 1, -4  We have to write the equation of the parabola

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

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Q: How did the graph change from the original parabola? √ Share With Class

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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: 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: Find the axis of symmetry and vertex for the parabola y = 5? + 30x – 1.

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

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Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola…

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Q: Write an equation of a parabola with vertex at the origin and the given focus. focus (3,0) What is…

A: Solution:-

Q: Use the information provided to write the equation of each parabola. 33 17) Vertex: (6, -8), Focus:…

A: Note: as per our guidelines we are supposed to answer only one question.* *Kindly repost other…

Q: Write the equation of a parabola whose directrix is y = 10.75 and has a focus at (-3, 1.25).

A: Given :focus -3, 1.25

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: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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Q: Use the information provided to write the vertex form equation of each parabola. 2) Vertex at…

A: here we have vertex:0,0,    focus:0,18 here x-coordinate is the same for both points so the parabola…

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3, 5)

A: Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It…

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

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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.