An equation of a parabola is given. (a) Find the focus and directrix of the parabola. (b) Sketch a graph of the parabola and its directrix. (x+2)2 = −4(y−4)

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: The given parabola is y2=4ax

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Conversion of the given equation into a standard equation helps to find the focus, directrix, and…

Q: Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. x2 + 20y = 0

A: Vertex of a parabola is the point of intersection of the parabola and its line of symmetry, i.e.…

Q: A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus, and the…

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Q: LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted…

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Q: The mirror in an automobile headlight has a parabolic cross-section with the light bulb at the…

A: Equation of the parabola is given as x2 = 4y   Given that the headlight has a parabolic…

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Given , 5y = x2 General equation of parabola is given by x2=4ay

Q: Determine the standard form of an equation of the parabola subject to the given conditions. Vertex:…

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Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: If equation of parabola is x2=4ay Then, Focus 0,a Directrix y=-a End points of the latus rectum…

Q: An equation of a parabola is given. x2 + 6x – 20y + 49 = 0 (a) Find the vertex, focus, and directrix…

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Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: An equation of parabola is given x2=8y compare this equation with standard parabola  x2=4ay hence…

Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

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Q: Find the vertex, focus, and directrix of the parabola. (x + 1)2 = 12(y − 2)

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Q: Graphing parabolas Find the focus and directrix of the parabola y2 = -12x. Sketch its graph.

A: A parabola is the locus of points such that the gap to a degree equals the space to line. Given:…

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Given, The equation of the parabola y=18x2 We have to find  focus, directrix and focal diameter of…

Q: Radio towers A and B, 200 kilometers apart, are situated along the coast, with A located due west of…

A: Radio towers A and B, 200 kilometers apart, are situated along the coast, with A located due west of…

Q: In Problem ,find the equation of the parabola described.Find the two points that define the latus…

A: Given that, Focus: (0,-3)=F Vertex : (0,0)=V   We have to Find the equation of the parabola…

Q: Find the vertex and focus of the parabola represented by the equation (y-2)^2 =-16(x-3)

A: y-22=-16x-3 Comparing with y-k2=4px-h, we get h=3,  k=2  &  4p=-16⇒p=-4

Q: Find the vertex, focus, and directrix for the parabola x² 4y Vertex: Focus: Equation of the…

A: See attached for a step by step explanation.

Q: Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. x2 + 16y = 0 (х, у)…

A: To find the vertex , focus and directrix of the given parabola.  x2 + 16y = 0

Q: Find the vertex, focus, and directrix of the parabola. Then sketch the parabola.

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Q: LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted…

A: answer is in next step , i can only answer one question as per guidelines.

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: To sketch the graph of the equation

Q: In Problem ,find the equation of the parabola described.Find the two points that define the latus…

A: Focus is -4, 0 and vertex is 0, 0. Equation of the parabola is, y2=-4ax⇒y2=-44x     ∵Vertex=-4,…

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Given equation of parabola is, 8x2+12y=0

Q: Light from a Lamp. The light from a lamp forms a lighted area on a wall, as shown in the figure. Why…

A: A hyperbola is the set of all points in the plane, the difference with the distances from two fixed…

Q: - The equation of the ellipse whose major axis is the latus rectum of the parabola v- 2)2 = 4(x – 3)…

A: We have to find the equation of the ellipse.

Q: Write an equation of the parabola with vertex (0, 0) and directrix x = 2. An equation of the…

A: We have to find the equation of parabola with vertex 0,0 and directrix x=2. We know that equation of…

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Given equation: x2+12y=0

Q: The graph of the equation x²=4cy is a parabola with focus F(_,_) and directrix y=____ . So the graph…

A: The given equation of the parabola x²=4cy Focus F(0, c) Directrix y=-c

Q: An equation of a parabola is given. x = -2y2 (a) Find the focus, directrix, and focal diameter of…

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Q: Find the vertex, focus, and directrix of parabola with the given equation (y - 2)2 = -16x. Then…

A: we have to find the vertex, focus and directix of parabola with the given equation y-22=-16x. then…

Q: An equation of a parabola is given. (y + 1)2 = -3x + 15 (a) Find the vertex, focus, and directrix of…

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Q: An equation of a parabola is given. x2 = 8y (a) Find the focus, directrix, and focal diameter of the…

A: The standard equation of a parabola with a vertical axis is given by: (x-h)2=4p(y-k)

Q: A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror…

A: Solution: Take a ride to the equation of the hyperbola - The standard form of the equation of a…

Q: The equation of a parabola is given. (a) Write the equation of the parabola in standard form. (b)…

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Q: . LORAN navigational transmitters A and B are located at (-130, 0) and (130, 0) respectively. A…

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Q: Given equation of parabola: 3x2+24x-12y=-108 a. What is the standard form b. what is focus and…

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Q: An equation of a parabola is given. 1,2 y = (a) Find the focus, directrix, and focal diameter of the…

A: I am going to solve the given problem by comparing it standard form of parabola to get the required…

Q: 2) Find the equation of the parabola defined. Find the two points that define the latus rectum, and…

A: For vertex -1,-2 and focus at 0,-2 parabola is:  y--22=4--1x--1y+22=4x+1

Q: A cross-section of a design for a travel-sized solar fire starter is shown in the picture. The sun’s…

A: Given that: The distance between igniter and vertex is a=1.6 m.

Q: The directrix and vertex of a parabola are shown on the graph. What is the vertex form of the…

A: Given:    Directrix is x = -1     vertex (h,k ) = (-2 , -2 )

Q: Find the focus and directrix of the parabola . Example 2: Find the focus and the directrix of the…

A: for finding the focus and directrix in parabola  if parabola y^2=4py then focus (0,p) and directrix…

Q: ind an equation of the parabola that has a focus at (4, 7) and a vertex at (4, 6): Find an equation…

A: Topic:- geometry

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Given : Equation of parabola x = -2y2   To find : (a) focus, directrix, and focal diameter of the…

Q: Find the vertex, focus, and directrix for the parabola x = 8y Vertex: Focus: Equation of the…

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Q: Parabolas Use the definition of a parabola to showthat the equation of a parabola with vertex at (0,…

A: To find: The equation of parabola. Given: The vertex of parabola is 0,0, directrix is x=-p and focus…

Q: A parabola has the equation 6x + y = 0. (a) Find the focus and directrix of the parabola, and sketch…

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Q: an equation of a parabola is given. a. Write the equation of the parabola in standard form. b.…

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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.