What is a parabola in words? I know what they look like and how to make one but geometrically speaking with focus and directrix what are they? Do they have to do with conics?

Q: hich equation do I need to use for locating the foci of a hyperbola?

A: The equation of a hyperbola centered at origin with foci at  ±c,0 and length of transverse axis 2a…

Q: You told me that an ellipse centered at the origin has vertices at (-5, 0) and (5, 0), so I was able…

A: Given, vertices -5,0, (5,0) we know the equation of ellips is: x2a2+y2b2=1 if we draw the graph of…

Q: How can you distinguish an ellipse from a hyperbola by looking at their equations?

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Q: The path of a dolphin jumping is shaped like a semi-ellipse. The maximum height above the water at…

A: Question - The path of a dolphin jumping is shaped like a semi-ellipse. The maximum height above the…

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: (++2)² 4

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Q: Explain why the dots in the Figure given below lie on a parabola. Where are the focus and directrix…

A: the figure in the diagram is a circle so It should be in the form of x2+y2=K Now y =c or some…

Q: Assuming you know the coordinates of the key points (vertex, foci, directrix), explain how to graph…

A: In the question it is asked to graph conic section assuming vertex, foci, directrix.

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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Q: Consider the equation 16y – 4² + 2² = 16. By first describing all of its traces, sketch the surface…

A: The equation is 16y2-4x2+z2=16 Set x = 0, 16y2+z2=16⇒y2+z216=1 An ellipse in yz-plane whose major…

Q: If the transverse axis of a hyperbola is vertical, what do we know about the graph?

A: Transverse axis of the hyperbola is that axis which passes through the foci

Q: we have two parabolas and both have same directrix line, different focus points. How do we know…

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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…

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Q: 2) For hyperbola, consider the following graphs * *(

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Q: Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular…

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Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: 1) WHAT IS THE DIFFERENCE BETWEEN THE EQUATIONS FOR PARABÓLAS, ELLIPSES, CIRCLES AND HYPERBOLAS?

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Q: The George Washington Bridge spans the Hudson River from New York to New Jersey. Its two towers are…

A: Given:          The two towers are 3500 feet apart and rise 316 feet above the road.           The…

Q: One of the three quadratic equations below is the equation of a parabola whose vertex is the origin.…

A: The general equation of parabola with vertex (0,0) is of the form: y2 = 4ax or y2 = -4ax or x2 = 4ay…

Q: Good day. I'm having a hard time solving this problem and it's worth a lot of points. Please help…

A: parabolic equation x = 1/2(y + 5)2 - 2 We need to characterize this parabola by indicating its…

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

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