Q-3- Figure 1 A concrete bridge is designed with an arch in the shape of a parabola. The road over the bridge is 120 feet long and the maximum height of the arch is 50 feet. Write an equation for the parabolic arch.

Q: An arch is in the shape of a parabola. It has a spar of 378 feet and a maximum height of 27 feet.…

A: The standard equation for a parabola is given by y=a(x-h)2+k. Substitute the vertex of the parabola,…

Q: 8. A clown who is shot out of a cannon lands in a net 50 feet away. a) Write an equation of the…

A: The general equation of the parabola is y=ax-d2+c

Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: Write this equation for an ellipse 12y? – 24a? 144 in standard %3D form. Show your work.

A: The given equation of the ellipse is 12y2-24x2=144 To find: standard equation of the ellipse

Q: A parabola is represented by the equation y=x² + 4x, which graph best represents the parabola? A VA…

A:

Q: Solve the problem. A homeowner wants to make an elliptical rug from a 30-foot by 10-foot rectangular…

A: To solve this problem, we can use the fact that an ellipse can be defined by its semi-major axis…

Q: The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the…

A: Consider the equation of hyperbola is x2a2-y2b2=1 According to the question, 2a=178 feeta=89 feet

Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

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Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: Atoy train moves around a circular track, as represented by the figure below. Toy Train The path of…

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Q: (Б) 10 F10 4,0 10 (у— А)2 (х - с? B2 D²

A: Solution:- The labelled figure of above question is given below.

Q: Choose a vertex for a parabola: _______ State another point on this parabola: ________ a) Write an…

A: Choose a vertex for a parabola: _______ State another point on this parabola: ________ a) Write an…

Q: The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the…

A:

Q: An historic, parabolic arch which provides a walkway under a building can be modeled by the 36…

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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.