An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the parabola. (b) Sketch a graph of the parabola and its directrix.  x = -2y2

Q: Find the focus and directrix of the parabola with the given equation x2 = 8y. Then graph the…

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Q: Find the vertex, focus, and directrix of parabola with the given equation x2 + 16y = 0. Then graph…

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Q: ind the equation for the graph of the hyperbola with vertices at (0, 2) and (0, -2) and one focus t…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation.

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Q: Find the focus and directrix of the parabola with the given equation y2 - 6x=0. Then graph the…

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Q: Find the focus and directrix of the parabola with the given equation x2 = 16y. Then graph the…

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Q: Find the focus and directrix of the parabola with the given equation 8y2 + 4x = 0. Then graph the…

A: We have the given equation of a parabola   The equation is 8y2 + 4x = 0   We know that the…

Q: Find the focus and directrix of the parabola with the given equation y2 = 4x. Then graph the…

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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: Find the focus and directrix of the parabola with the given equation y2 = -12x. Then graph the…

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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. Sketch its graph, showing the focus and the…

A: To sketch the graph

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: II. Determine the vertex, focus, and the length and endpoints of the latus rectum. State the…

A: Given that: 12. (y+1)2=x-413. y2+x-10y+17=014. -x2-6x+y-4=0     NOTE: As per our answering…

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: An equation of a parabola is given. (a) Find the focus and directrix of the parabola. (b) Sketch a…

A: We compare the given equation (x+2)2 = −4(y−4) with  (x-h)2=4a(y-k) so, h=-2, k= 4 , 4a=-4 or a=-1…

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

A: given (y+1)2=-8x

Q: Find the vertex, focus, and directrix for the parabola (y – 3)? = 24(x – 1) Vertex: Focus: Equation…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (x - 2)2 = 8(y - 1).…

A: Given: x-22=8y-1. for finding vertex, focus and directrix we compare given equation of parabola with…

Q: A parabola has a focus located at (2,–) and a vertex located at (2, -1). What is the equation for…

A: Given query is to find the equation of directrix and the vertex form of parabolo.

Q: 6. Find the focus and directrix of the parabola x = -12y, and sketch its graph.

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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: An equation of a parabola is given. 9x + 7y2 = 0 (a) Find the focus, directrix, and focal diameter…

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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 with the given equation (x + 2)2 = 4(y + 1).…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

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Q: Eyeglass Lens. Eyeglass lenses can be thought of as very wide parabolic curves. The parabola opens…

A: Eyeglass Lens. Eyeglass lenses can be thought of as very wide parabolic curves. The parabola opens…

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: An equation of a parabola is given. 8x2 + 10y = 0 %D (a) Find the focus, directrix, and focal…

A: equation of parabola 8x2+10y=0

Q: Find the focus and directrix of the parabola with the given equation y2 - 6x = 0. Then graph the…

A: Given equation of the parabola is: y2 - 6x = 0 y2 = 6x  y2 = 4 . (3/2) . x  Therefore the focus of…

Q: An equation of a parabola is given. x = -3y2 (a) Find the focus, directrix, and focal diameter of…

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Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

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. x = -3y2 (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 x2 + 4y = 4. Then graph…

A: Given, x2+4y=4

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: Find the vertex, focus, and directrix of the parabola with the given equation (y + 4)2 = 12(x + 2).…

A: The given equation of parabola is y+42=12x+2 To find vertex, focus and directrix of the parabola

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: A cross-section of a parabolic reflector is shown in the figure.The bulb islocated at the focus and…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 2)2 = -8(y + 2).…

A: x+22=-8y+2 Comparing with x-h2=4py-k, we get h=-2, k=-2, 4p=-8⇒p=-2 Now vertex is, h, k=-2, -2 Focus…

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: Find the focus and directrix of the parabola with the given equation x2 - 6y = 0. Then graph the…

A: Given parabolic equation is x2-6y=0 To find focus and directrix of the given parabola

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

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

A: Given that, the distance between the two radio towers is 200 km. Signals from tower B are detected…

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

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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.