parabola can be drawn given a focus of (-2, 6) and a directrix of x = 0. Write the equation of the parabola in any form.

Q: The vertex of a parabola is (–5,1) and the directrix is the line y=–2. Find the focus of the…

A: Given vertex of parabola: -5, 1 Directrix of the parabola: y=-2  If a parabola  y=ax-h2+k then the…

Q: Write the standard form of the equation of the parabola with the given directrix and the vertex at…

A: Topic-parabola

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: equation of the parabola  x-h2=4ay-k

Q: Find the equation of the parabola in standard form and general form which satisfies the given…

A: We have given some key point about parabola, we have to find, equation of parabola.

Q: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = x, hyperbola…

A: To find an equation for the hyperbola that satisfies the given conditions.Asymptotes: y=±x,…

Q: Determine the standard form of an equation of the parabola subject to the given conditions. Vertex:…

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Q: Find an equation of the parabola that has a focus at (2, 16) and a vertex at (2, 8): Y = Find an…

A: Parabola is a U-shaped curve and it is part of a conic section.  The focus of the parabola is the…

Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

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Q: Find an equation of the parabola that has a focus at (6, 11) and a vertex at (6, Find an equation of…

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Q: Parabolas with axis parallel with the y-axis and with distance from vertex to focus fixed as a. Ans.…

A: The given problem is to find the differential equation for the given parabolas with axis parallel…

Q: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

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Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

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Q: A parabola can be drawn given a focus of (-4,-6) and a directrix of y = 0. Write the equation of the…

A: The given focus is -4,-6 and the directrix is y=0 of a parabola. The main objective is to write the…

Q: A parabola can be drawn given a focus of (-4, –11) and a directrix of y = -3. What can be said about…

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: PARABOLAS WITH VERTEX AND FOCUS ON THE Y-AXIS

A: 2. Equation of the parabola having vertex and focus on the Y-axis is y-k=a(x-0)2 ⇒y=ax2+k, where a…

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: The standard parabola with directrix y = −4 is translated so that its vertex is located at (4, 10).…

A: Given: The standard parabola with directrix y = −4 To find: Equation, directrix, and focus of the…

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Let the focus of the parabola be (a,0)=(-6.5,0). Let the vertex of the parabola be (h,k)=(0,0) The…

Q: A parabola can be drawn given a focus of (-8, 6) and a directrix of y = 0. What can be said about…

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Q: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: Find the focus and directrix of the following parabola and graph it. ² = -16y %3D

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Q: Find an equation of the parabola that has a focus at (4, 10) and a vertex at (4, 4): y = Find an…

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Q: Find the standard form of the equation of the parabola with the given characteristics, Axis is…

A: To find the standard equation of parabola  Given Axis is parallel to y-axis Parabola passes through…

Q: Find the focus and directrix of the parabola given by x2 = -12y.Then graph the parabola.

A: The given equation of parabola, x2=-12y The equation is of the form x2=4ay,  Compare both the…

Q: A parabola is shown below. Its vertex and another point on the parabola are label- Write an equation…

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Given vertex at origin and focus (0,3.7) So a=3.7 We need to find the equation

Q: A parabola has a vertex at the origin and a focus of (0, 3). What is the equation of the parabola.

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Q: Make canonical equations for a hyperbola with an imaginary axis equal to 2 and focus F (-√13; 0)

A: One focus of the hyperbola is given.From the focus, the hyperbola is right -left facing…

Q: A parabola can be drawn given a focus of (7, –3) and a directrix of y = 9. Write the equation of the…

A: on solving this we get the

Q: A parabola can be drawn given a focus of (0, 10) and a directrix of y = -4. Write the equation of…

A: Given,           Focus is 0,10 and directrix is y=-4.

Q: A parabola can be drawn given a focus of (5,-10) and a directrix of y = 6. What can be said about…

A: Follow the procedure given below.

Q: Find the standard form of the equation of the parabola with the given characteristics. focus: (5, 5)…

A: Answer and explanation is given below

Q: Write an equation of the parabola in standard form when focus is (9,0) and directrix is x=-9

A: The equation of parabola having directrix x=aand focus (a,0) is given by=y2=4ax

Q: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A: we have to find equation of parabola.

Q: A parabola can be drawn given a focus of (7, –2) and a directrix of x = 11. What can be said about…

A: The general form of a horizontal parabola is given by: x=a(y-k)2+h   The vertex of this parabola is…

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: The standard equation of the parabola is (x-h)2=4a(y=k) Where (h,k) is the vertex Here h=3, k=-2…

Q: A parabola can be drawn given a focus of (-10, 1) and a directrix of x = the equation of the…

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

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Q: Find an equation of the parabola that has a focus at (5, 10) and a vertex at (5, 8): y = Find an…

A: The given focus and vertex of the parabola are (5, 10) and (5, 8) respectively. It can be easily…

Q: the focus of the parabola and the directrix

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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Q: Write an equation of the parabola with vertex (0, 0) and directrix x = 2. An equation of the…

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Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

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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.