A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 48 feet across at its opening and 4 feet deep at its center, where should the receiver be placed? nasa.gov Find the equation of the parabola (assuming the origin is halfway between the receiver and the bottom of the dish, the positive y direction is along the open direction of the dish). How far above the vertex should the receiver be placed? Select an answer Round your answer to at least one decimal place if needed.

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

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

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Q: satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: We will solve the following.

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

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A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: Explain why the dots in the Figure given below lie on a parabola. Where are the focus and directrix…

A: the figure in the diagram is a circle so It should be in the form of x2+y2=K Now y =c or some…

Q: Find the equation of a hyperbola with center at (3,-1) if the transverse axis is horizontal, the…

A: Given Centre = (3,-1) Focal distance = 20 units Length of transverse axis = 16 units

Q: suppose that the bulb of a flashlight is placed at the focus of its parabolic reflector. if the…

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Q: Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and…

A: The standard equation of hyperbola with center (0,0) and having horizontal transverse axis is given…

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

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Q: What is the eccentricity of a hyperbola with major and minor axes of 8 and 6 units, respectively?…

A: For the solution of the problem follow the next step.

Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci…

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Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

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

A: Given:

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix x…

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

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

Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

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: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source.  The…

A: Desining a flashlight: Position the parabola with its vertex at the origin and opening upward.…

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

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Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

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Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

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Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

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 standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: Opens to the left with focus a (4, 3) and one endpoint of the latus rectum is (4, 7). Find the…

A: Given:  A parabola opens to the left with focus at 4, 3 and one endpoint of the latus rectum is 4,…

Q: given the directrix of y = 6 and focus of (0, 4) which is the equation of the parabola

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Q: Determine the equation of the parabola opens to the right with focus at (4,3) and one endpoiny of…

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

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Q: A satellite dish has the shape of a parabola when viewed from the side. The receiver (which is at…

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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: given the directrix of y = 6 and focus of (0,40, which is the equation of the parabola?

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Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Explanation: According to the given situation,  center of the parabola is (0,0) It means two points…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (7,…

A: Parabola: The focus of the parabola is (7,1) Directrix of the parabola is y=-9. The equation of…

Q: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid,…

A: Given: A sound receiving dish used at outdoor sporting events is constructed in theshape of a…

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (1,…

A: Given: A rough sketch of the parabola shall be as follows:

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: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

A:

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: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

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.