Mathematics

Mathematics, 22.06.2019 11:30, brad7330

Which of the following best describes the focus of a parabola?

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Mathematics, 22.06.2019 10:20, jaideeplalli302

Which of the following best describes the focus of a parabola?

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Mathematics, 03.08.2019 13:00, sydneyyyy7014

Ido not understand : the vertex form of the equation of a vertical parabola is given by , where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. you will use the geogebra geometry tool to create a vertical parabola and write the vertex form of its equation. open geogebra, and complete each step below. if you need , follow these instructions for using geogebra. part a ( i already answer it ) mark the focus of the parabola you are going to create at f(6, 4). draw a horizontal line that is 6 units below the focus. this line will be the directrix of your parabola. what is the equation of the line? the parabola is vertical since the directrix is horizontal. the parabola opens upwards, since the focus lies above the directrix. equation of up-opening parabola is in general: y = a(x - a)² + b the vertex is halfway between focus and directrix. vertex (6, 1) a = 6 b= 1 p = distance between focus and vertex = 3 k= 1/(4p) = 1/12 so the equation of the parabola is : y = (1/12)(x - 6)² + 1 need in this part b: part b: construct the line that is perpendicular to the directrix and passes through the focus. this line will be the axis of symmetry of the parabola. what are the coordinates of the point of intersection, a, of the axis of symmetry and the directrix of the parabola?

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Mathematics, 30.08.2019 03:30, selamh1999

Which of the following best describes the relationship between the focus and directrix of a parabola a. the focus is half the distance from the parabola as the directrix b. the focus is twice the distance from the parabola as the directrix c. they are equidistant from the parabola d. they both lie on the graph of the parabola

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Mathematics, 18.10.2019 19:30, reetajmahfouz3816

If the directrix of a parabola is the horizontal line y = 3, what is true of the parabola? a)the focus is at (0, 3), and the equation for the parabola is y2 = 12x. b)the focus is at (0, –3), and the equation for the parabola is x2 = –12y. c)the focus is at (3, 0), and the equation for the parabola is x2 = 12y. d)the focus is at (–3, 0), and the equation for the parabola is y2 = –12x.

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