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3. Find the center, vertices, foci and asymptotes of the hyperbola. (y+3)(x-1) 16 25 4) vertices:...
Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) 1 y2 = 1 121 196 center vertices (smaller x-value) (x, y) - (x, y) =( (x,y) - ( (x, ) =( (targer x-value) foc (x, y) = (1 (smaller x-value) ) (larger x-value) asymptotes (negative slope) (positive slope)
An equation of a hyperbola is given. x^2/16 - y^2/64=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
An equation of a hyperbola is given. x^2/16 - y^2/61=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
1.a Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. b. y? – 16x2 = 16 Find the area of the region enclosed by one loop of the curve : r2 = 4cos20
18. DETAILS Find the vertices and foci of the hyperbola. x 22 144 25 vertices (x, y) = (smaller x-value) (x, y) = (larger x-value) fod (x, y) (smaller x value) (x, y) =( (larger x-value) Find the asymptotes of the hyperbola. (Enter your answers as a comma-separated list of equations.) Sketch its graph у 151 151 10 10 -20 -10 10 20 -20 -10 20
QUESTION 2 Find an equation for the hyperbola described. Vertices (1, -3) and (- , -3) and (- 2.-3); asymptotes y+3 = + (x+2) 4(x + 2)2 (v + 3)2 = 1 25 9 = 1 (x + 2)2 4(y + 3)2 9 25 4(x - 2)2 (y - 3)2 25 9 (v + 3)2 4(x + 2)2 9 (5532 = 1 = 1 25 QUESTION 4 Find the center, foci, and vertices of the ellipse. 25x2 + 49y2 =...
#47 51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes: y = 3x Finding the Standard Equation of a Hyperbola In Exercises 39-48, find the standard form of the equation of the hyperbola with the given characteristics. 41. Foci: (0, +8); asymptotes: y = +4x 42. Foci: (+10,0); asymptotes: y = +x 43. Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 - x 44. Vertices: (3,0), (3, 6); asymptotes: y...
Sketch the graph of the following hyperbola. Specify the coordinates of the vertices and foci, and find the equations of the asymptotes. Use a graphing utility to check your work. y² x² 36 = 1 25 The vertices of the hyperbola arı (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) The foci of the hyperbola are (Type an ordered pair. Type an exact answer, using radicals as needed....
Question 18 Identify the center, vertices, foci and graph the hyperbola (x-2)2 (y+3) 1. The graph must include the dashed boxed and 64 asymptote lines. 100
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola b) Use the vertices and the asymptotes to graph the hyperbola a) The center of the hyperbola isType an ordered pair.) The vertices are Type an ordered pair. Use a comma to separate answers as needed.) The equation of the transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below b) Choose...