focus shaded region has area 8

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: The vertex of a parabola is (–5,1) and the directrix is the line y=–2. Find the focus of the…

A: Given vertex of parabola: -5, 1 Directrix of the parabola: y=-2  If a parabola  y=ax-h2+k then the…

Q: 21. What are the vertex, focus, and directrix of the parabola with equation y = x- 6x + 15?

A: Here we have to find the vertex, focus, and directrix of the parabola with the equation y=x2-6x+15

Q: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

A: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (5,…

A:

Q: The vertical cross section of a cooling tower for a nuclear power plant is a truncated hyperbola.…

A: The vertical cross section of a cooling tower for a nuclear power plant is a truncated hyperbola.…

Q: Find an equation of the parabola whose graph is shown. shaded focus region has area 8

A: as we can see that the shaded portion is in the form of a rectangle.  the latus rectum passes…

Q: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

A: The intersection of a plane and a double napped cone is known as conic sections.If the set if…

Q: Communicate Precisely How can you find the focus of parabola given the vertex and the directrix?

A:

Q: Find the equation of the parabola with a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4. %3D

A: Given problem is :

Q: The standard parabola with directrix y = −4 is translated so that its vertex is located at (4, 10).…

A: Given: The standard parabola with directrix y = −4 To find: Equation, directrix, and focus of the…

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

A: Given:

Q: The Dufferin Gate is a parabolic arch that is approximately 20 m tall and approximately 22 m wide.…

A:

Q: Find the vertex, focus and directrix of the parabola given by (x - 3)2 = 8(y + 1).Then graph the…

A: Vertex form of a parabola y=a(x-h)2+k Where vertex is (h, k) focus os (h, k+p) where p=14a And…

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: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: A parabola can be drawn given a focus of (-8, 6) and a directrix of y = 0. What can be said about…

A:

Q: 2. A nuclear cooling tower cross section is a hyperbola having a diameter of 60 ft. at the center.…

A: Given diameter is 60 ft.Distance between two foci is 98 ft.We know the equation of hyperbola is…

Q: All parabolas concaving dowward with distance from the vertex to focus fixed, and with vertex lying…

A: The most probable graph of the equation The general form of the equation must be (x-a)2=b(-y+4)…

Q: 2. Find the equation, in standard form, of the parabola with the specified features. (a) Vertex (4,…

A: Note: As per our guidelines we are allowed to solve 3 sub parts of a multipart question at one time.…

Q: A lamp has the shape of a parabola when viewed from the side. The light source (which is at the…

A:

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola: 17.5y=x2…

A: Here we will find the required quantities of given parabola,

Q: 1) What is the orientation (Horizontal or Vertical) of this parabola? Where is it opening? 2)…

A:

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

A:

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 21.2y = a?…

A:

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

A:

Q: Sketch the graph of the parabola showing its graph showing the vertex, focus and directrix (x + 2)?…

A: (x+2)²= -8(y-1) To sketch the graph of parabola and to show vertex, focus and directrix of parabola.…

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

A:

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: A parabola has a vertex at the origin and a focus of (0, 3). What is the equation of the parabola.

A:

Q: Find the standard form of the equation of the parabola with the given characteristics.   focus:…

A: If (a,b) is the focus of the parabola,  and directrix is y = k,then strandard equation of parabola…

Q: Find the general form and graph of the focal width of a parabola is 14 units and its vertex can be…

A:

Q: A parabola has a focus located at (2, 1) and a directrix of y =-3. What are the coordinates for the…

A:

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…

A:

Q: True or False: The point on a parabola closest to its focus is its vertex. If false, explain why or…

A:

Q: A parabola can be drawn given a focus of (5,-10) and a directrix of y = 6. What can be said about…

A: Follow the procedure given below.

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

A:

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

A:

Q: .Šketch the graph of parabola with vertex at the origin, has a focal length of 5 units and has a…

A: The parabola has a vertex at the origin, has a focal length of 5 units, and has a horizontal axis of…

Q: A parabola has a focus located at (5, -) and a directrix of y = What are the coordinates for the…

A:

Q: What is the height of the cable at a point 200 feet

A:

Q: please find the equation for parabola with the followin points focus 0,7 vertex 0,5 directrix 0,3

A: This question is based on standard equation of upward opening parabola .

Q: What is the equation of the parabola whose focus is at the origin ?(0,0) and whose directrix passes…

A: To sketch the parabola whose focus is the origin and directrix passes through the points (−4,0) and…

Q: Find the equation of a parabola with the given characteristics. vertex at (0,0); focus at (-10,0)

A: Given:- Vertex (0, 0) , focus(-10, 0)  To find:- Standard equation of parabola

Q: 7. Find the focus, directrix and focal diameter of the parabola 3y =-24x, and sketch its graph.

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (3,…

A:

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.