Find the equation of the parabola that has a focus at (3,11)(3,11) and a vertex at (3,6)(3,6): The equation of the parabola is    The equation of the directrix is

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: A parabola has a focus located at (0, ) and a directrix of y = What are the coordinates for the…

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Q: Find the focus and directrix of the parabola with the given equation y2 - 6x=0. Then graph the…

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Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: Find the vertex, focus and directrix of the parabola given by (x - 2)2 = 4(y + 1)..Then graph the…

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Q: equation of the parabola described. a. Vertex at (4, −2); focus at (6, −2)

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Q: Solve for the equation of the parabola described. Vertex at (2,4); focus at (2,-1)

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).

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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: Find the focus and directrix of the parabola with the given equation y2 = -12x. Then graph the…

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Q: Find the focus and directrix of the parabola with the given equation. 4) 9x2 = -5y

A: Compare standard equation of parabola

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: Find the equation of the parabola with a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

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

A: Given that the directrix is x = -2, we can conclude that the parabola opens to the right(in a…

Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: A parabola has a focus located at (2,–) and a vertex located at (2, -1). What is the equation for…

A: Given query is to find the equation of directrix and the vertex form of parabolo.

Q: Find the vertex, focus and directrix of the parabola given by (x - 3)2 = 8(y + 1).Then graph the…

A: Vertex form of a parabola y=a(x-h)2+k Where vertex is (h, k) focus os (h, k+p) where p=14a And…

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: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.

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Q: Write the equation into the standard form of the equation of the parabola y² – 2y = 8x – 1. Locate…

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Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

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

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Q: Find the standard form of the equation of the parabola with the given characteristics. y 1아 Vertex…

A: The equation of a parabola in vertex form: y=(x-h)2+k  Where the vertex is at (h,k) and the focus is…

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 has a directrix of y = " and a vertex located at (1, 4). %3D What are the coordinates for…

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Q: Find the general equation of the parabola of: Vertex(-1,-2), Directrix y=1. Find the general…

A: -2Let the equation of parabola(x-α)2 = 4a(γ-β)…

Q: Find the focus and directrix of the parabola with the given equation y2 - 6x = 0. Then graph the…

A: Given equation of the parabola is: y2 - 6x = 0 y2 = 6x  y2 = 4 . (3/2) . x  Therefore the focus of…

Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

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Q: The equation of the family of parabolas with vertex and focus on the x-axis where h and k are…

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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: Find an equation of the parabola with the given properties. Vertex at (0, 0), focus at (1/24, 0).

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Q: Find the standard form of the equation of the parabola with the given characteristics.   focus:…

A: If (a,b) is the focus of the parabola,  and directrix is y = k,then strandard equation of parabola…

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: A parabola has a focus located at (2, 1) and a directrix of y =-3. What are the coordinates for the…

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Q: Find the focus and directrix of the parabola with the given equation 8x2 + 4y = 0. Then graph the…

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Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

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: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

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Q: A parabola has a focus located at (-2,-4) and a directrix of y = -5. %3D What are the coordinates…

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Q: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that  |Af|= |AD| Where Af=…

Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

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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: Find the equation of the parabola with focus (2, –1) and vertex (2, 3).

A: Given; Focus (2,-1) and vertex (2,3).

Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: Find the standard form of the equation of the parabola with the given characteristics. y 10) Vertex…

A: Given vertex is (-3,0) and focus is (-1,0) find the standard 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.