3 inches 3 Vertex (0, 0) 6 inches

Q: In  the given equation as follows , classify the graph of the equation as a circle, a parabola, an…

A: Given: 25x2-10x-200y-119=0

Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation:…

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Q: In the given equation as follows , classify the graph of the equation as a circle, a parabola, an…

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Q: or the given equation of a parabola, determine the focus, vertex, and directrix. (x – 3)? = 32(y+ 4)…

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 23.12x=y^2

A: Given: The parabola is 23.12x=y2.   Calculation: Comparing with y2=4ax, we get 4a=23.12a=5.78…

Q: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

Q: Identify each equation as a circle, parabola, ellipse, or hyperbola. a) Зx2 + 4y2— 6х — 24у — 18 — 0…

A: Given : 1.

Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

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Q: Identify a and b for the hyperbola with equation a? y? = 1. 62

A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

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: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

A: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

Q: What is the equation of the drawn parabola? Notice that the green dot near the "f " marks the…

A: We can draw graph

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

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Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

Q: O The slingshot reaches a greater height at 162 feet, which is the vertex of the parabola. The…

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

A: Provided figure is Diameter=2x=4 ⇒ x=2 Depth=y=2

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

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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: The mirror in an automobile headlight has a parabolic cross section, with the lightbulb at the…

A: x2 = 4ycoordinates of focus = ?

Q: (b) Find the evolute of the parabola y? = 4ax.

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Q: A lamp has the shape of a parabola when viewed from the side. The lamp is 32 centimeters wide and 32…

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 15.6x = y?

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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: Given the directrix and vertex, what would the equation of the parabola be? (1, 2) O (y – 2)² = 6 (x…

A: We have to find the equation of parabola

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 80(y+9) =…

A: Write the given equation of the parabola in the standard form which is: (x-h)2=4a(y-k) Where (h, k)…

Q: 4. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola and then…

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Q: 2. Write the equation of the parabola x+ 6x+8y = 7 in standard form and identify the a) vertex, b)…

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Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

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

A: How far from the vertex should the light bulb be placed?

Q: In order to hear what is said in a football huddle, a listening device is set up on the sideline. It…

A: Given that, In order to hear what is said in a football huddle, a listening device is set up on the…

Q: 3+ 2 Focus: (0, 2) 1+ -3 -2 -1 o -1+ -2- Directrix: y= -2 -3+

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Q: I dont understand if this is a completing a square problem and if so how i would go about solving…

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

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Q: A lamp with a parabolic reflector is shown l. The bulb is placed at the focus and focal diameter is…

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Q: The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cables…

A: It is given that the towers supporting the cables are 800 feet apart and 100 feet high and it is…

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

A: Here we use the concept of conic section

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: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: Q: Find the vertex, focus, and directrix of the parabola and sketch its graph, for the following…

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Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

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Q: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

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

A: Given data: The diameter of the reflector is 4 inches and a depth of 1 inch. it means x=2 and y=1.…

Q: The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable…

A: Given that, The cables of the suspension bridge are in the shape of parabola. The towers supporting…

Q: By completing the square, find the standard form of the equation of the parabola: y = x^2 + 6x + 7…

A: y=x2+6x+7 On simplification, we get y=x2+6x+9-2⇒y=x+32-2

Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…

A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…

Q: x = ÷y² 1 4p

A: we will use basic algebraic calculations and to get p we will subtract the x-coordinate of vertex…

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: The filament of a lightbulb is a thin wire that glows when electricity passes through it.  The…

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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.