Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y= 3c y= 2c y=-c FIGURE 23

Q: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?

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Q: Draw the ellipse 5(x − 1) 2 + 4(y − 1) 2 = 25, labeling all important information.

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Q: Find, in terms of x and y, the equation of the hyperbola in standard position with focus (5,0)  and…

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Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

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Q: In which direction do the following parabolas open?a. y2 = -4x        b. x2 = 4y

A: Part(a) Given parabola  The graph of the given parabola is

Q: Find the standard form of the equation of a parabola with focus (5,0) and directrix x = -5,shown in…

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Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…

A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…

Q: Jim, standing at one focus of a whispering gallery,is 6 feet from the nearest wall.His friend is…

A: Given: Jim is standing at the focus of a whimpering gallery is 6 feet. His friend is standing at the…

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: Explain how to use directrix. ey = &x to find the parabola's focus and

A: Given equation of parabola is y2=8x. To find focus and directrix of parabola. Solution: Equation of…

Q: A doomed ceiling is a parabolic surface. Ten meters down from the top of the dome, the ceiling is 15…

A: Given a doomed ceiling is a parabolic surface which is 10m down from top and 15m wide. A light is…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (0,…

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Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: Find the equation of parabola with rertex at (0,0 and focus at (3

A: Given the vertex is at(0,0) and focus (3, 0)

Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

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Q: Find the equation of the parabola with focus (8,0) and directrix x -8

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (6,5)…

A: We have given,The focus of a parabola is (6,5) and the directrix is x=-4We need to find the equation…

Q: Find the general equation of the ellipse given: covertices at (-1,2) and (-1,-4), focus at (1,-1)

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: given, focus (0,15) directrix y=-15

Q: Write the standard equation of parabola with the focus at (-1, 2) and the vertex (1,2) Determine :…

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Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: 23. Find the foci of the ellipse. 3D1 169 144

A: Given equation is x2169 + y2144 = 1 ; x2a2 + y2b2 = 1  so, a2 = 169 and b2 = 144 c is the distance…

Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

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Q: 2. Find the equation of the parabola described. a. Vertex at (4, –2); focus at (6,–2) b. Focus at…

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Q: Find the standard form of the equation of a parabola with focus (8,0) and directrix x = -8.

A: Focus is, a, 0=8, 0⇒a=8 Directrix is x=-8.

Q: find the equation of the parabola with the given  Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

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Q: Graph the ellipse with the given equation (x-1)² (y+2)² 9. = 1 4 and identify the 1. direction…

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Q: Find the equation of the parabola with focus (1, −4) and directrix y = 0.

A: Given the following to find the equation of parabola.

Q: Find the equation of a hyperbola whose center is at (0,0), one focus at (5,0) and the distance…

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Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…

Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given:Focus0,20Directix y=-20Parabola:x-h2=4p y-k

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

Q: Use these parametric equations to graph the ellipse when a=  3 and b= 1, 2, 4, and 8.

A: a=3 and b=1,2,4,8 We need to Graph the ellipse using the parametric equation for the given…

Q: Solve for the equation of the parabola described. 1. Vertex at (0,0); focus at (0,3) 2. Focus at…

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?

A: we know that the distance between any point on parabola and the focus is same as the distance…

Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5),…

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Q: Find the standard form of the equation of the parabola. Focus at (6, -2), directrix y = -8

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (12,…

A: Alternatively, you can use the definition of a parabola to derive the equation. A parabola is the…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

Q: Determine the equation and sketch the graph the parabola given focus at (12, 3) and directrix at x =…

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