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 40 feet across at its opening and 5 feet deep at its center, where should the receiver be placed? nasa.gov Find the equation of the parabola. x2 = 4ay X syntax error. Check your variables - you might be using an incorrect one. feet How far above the vertex should the receiver be placed? 20 Question Help: Message instructor Submit Question

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. y =…

A: y=-3x2-18x-39 The graph is,

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

A:

Q: The vertex of a parabola is (0,0) and the focus is (30) . What is the equation of the parabola? A.…

A: Given that vextex of parabola is 0,0focus is 18,0To find :equation of parabola.Solution :

Q: Which of the equations below could be the equation of this parabola? Vertex (0, 0) A. x-2y B. x=-2y2…

A: The given graph is a downward parabolapassing through origin. so, theequation of the graph will be…

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

A: Given:  An object is shaped like a paraboloid of revolution and its receiver is located at the…

Q: The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable…

A: From the given data and figure,   Its look likes open upward parabola   The low point of the cable…

Q: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola .  General equation of parabola :  y = (x - h)2…

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

Q: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: A cross section of a nuclear cooling tower is a hyperbola with the equation x2 y2 1 902 1302 The…

A: Hete we have to use the concept of hyperbola

Q: An engineer is designing headlight units for automobiles. The unit has a parabolic surface with a…

A: According to the given figure, the vertex of the parabola is (0, 0). The parabola has symmetry about…

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the…

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

A:

Q: What are the coordinates of the focus of the parabola? (y-2) = -20 (x +1) -20 (x + 1) %3D Enter your…

A: Given; ( y-2)^2=-20(x+1) We have to find focus of given parabolic

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

Q: A spotlight uses a parabolic reflector, a surface with a parabolic cross-section, and a lightbulb at…

A:

Q: If the focus of a parabola whose vertex is at the origin and which opens down is (0, -4), what is…

A:

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A:

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: Given 1) 2x2-12x+y2+6y+26=02) 36x2-4y2-36x-8y=313)9x2+8y2-15x+8y+27=04)x2+4y2=4x+8

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+2)² = - 5(x-4)

A:

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

A:

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: see below the answer and calculation

Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: It is given that, "I threw a baseball vertically upward and its path was a parabola."

Q: A bridge is designed with an arch in the shape of a parabola. It is to be constructed over a…

A: solution:-

Q: What is the line that cuts a parabola into two equal parts? * Your answer

A: Topic:- geography      axis of symmetry: A line that divides the parabola into two equal halves and…

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

A:

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: (a) What are the coordinates of the vertex of the parabola? Use of the grid below is optional. (b)…

A: We are given directrix y=4 and focus (-1,-2). We will use basic definition of the parabola to find…

Q: What is the location of the vertex of a parabola given the equation y2+6y-9x-12-D0? O (3,-7/3) O…

A:

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: The towers of the Golden Gate Bridge connecting San Francisco to Marin County are 1280 meters apart…

A: The parabola is a u-shaped graph of a quadratic function. The general equation of a parabola is…

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: Which of the equations below also represents the parabola y=−3x^2−18x+16? (options in image)

A:

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A:

Q: Write the equation of a parabola whose directrix is y=7.5 and has a focus at (−3,8.5)

A: Parabola is the locus of all those points which is equidistant from both Directrix and focus. let…

Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: We have to find

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

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: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

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: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: The solution of the problem is given in the next step.

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

A:

Q: What is an equation of a parabola with the giyen vertex and focus? vertex: (-2, 5); focus: (-2, 6)

A: Use the value of vertex and focus for finding the equation of parabola .

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A:

Q: 3. Find the equations of the parabolas that share a vertex and a focus with the ellipse 225 – 9x? -…

A: Given Equation of ellipse, 225-9x2-25y2=0

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.