A light bulb in a flashlight is at the focus of its parabolic reflector, 1.5 centimeters from the vertex of the reflector. Write an equation for the cross section of the flashlight's reflector with its focus on the positive y-axis and its vertex at the origin.

Q: Find the equation of the parabola with focus (5, 0) and directrixx = -5. а. b. x' = 20y c. y' = 20x…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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Q: find the equation for the parabolic cooker.

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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: 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 whose graph is shown. y Focus

A: In this problem , parabola symmetric about y - axis . Vertex form of parabola if symmetric about y -…

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: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

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Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Find the equation of the directrix of the parabola y=16x.

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Q: Find the focus and directrix of the parabola y2 = 10x.

A: given: the equation of the parabola: y2=10x

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: Find an equation of the parabola whose graph is shown. y Directrix x = -2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

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Q: A satellite dish is being designed so that it can pick up radio waves coming from space. The…

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: Use the Distance Formula to write an equation of the parabola with focus F(0. 9) an y%3D

A: Topic- equation of parabola

Q: Find the equation of the parabola whose focus is (-2,-15/4 ) and whose directrix is y = -17/4.

A: Given focus of parabola is    -2, -154 and directrix is    y=-174

Q: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

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Q: Write the Equation of the parabola: Focus: (0,5), Directrix: y= -3

A: We have to find the equation of parabola

Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

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

A: The formula for a parabola in vertex form is:

Q: determine the coordinates of the y intercept of the parabola.

A: To determine the coordinates of the y intercept of the parabola.

Q: Find an equation of the evolute of the hyperbola y=1/x.

A: Given: The equation of hyperbola,

Q: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

Q: Find the focus and directrix of the parabola y = -x2, and sketch the graph.

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Q: Find an equation of the parabola with focus (-6, -3) and directrix x= 4. ロ=ロ

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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: 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 the standard form of the equation of the parabola. Vertex at the origin, focus at (2, 0)

A: General equation of horizontal parabola is given by -y-k2 = 4px-h             ..........(1)where, h,…

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: Write the equation for a parabola with a focus at (-6,0) and a directix at x=-2

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Q: Find an equation of the parabola that satisfies the given conditions.Focus F(-3, -2), directrix y =…

A: We have given the equation of directrix is y=1 which parallel to the x-axis. The standard equation…

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

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: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source, shown…

A: Given that, The casting has a depth of 2 inches that is y = 2 in. And the casting has a diameter of…

Q: X.2: Write the equation for the parabola with Focus (o,-3) and directrix y= 3.

A: To get equation of parabola suppose any point P on parabola and focus S and any point on directrix…

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

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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: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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Q: (x – 4) = –12 (y + 3) - Find the vertex, focus, and directrix of the parabola.

A: The given equation is: x-42=-12y+3                                     (1)

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

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Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

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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.