1.a Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. b. 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....
3. Find the center, vertices, foci and asymptotes of the hyperbola. (y+3)(x-1) 16 25 4) vertices: foci: asymptotes:
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.
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)
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
1. For the following equation, find the center, vertices, foci, transverse axis, and asymptotes, and sketch the graph: 2. Consider the set of parametric equations (a) Graph in the following window: TMIN--3.74, TMAX- 3.74, TSTEP = 0.02, XMIN =-10, XMAX = 10, YMIN =-7, YMAX = 7, Sketch the graph. (b) At, find (x, y) and dy/dx. Write the equations of the lines tangent to and normal to the graph at (c) Find the length of the curve from to...
#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...
s. Find the standard form of the equation for a hyperbola with foci (5, -8) and (3 and vertices (4, -8) and (-2,-8). Sketch its graph. Find the standard form of the equation for a hyperbola with vertices at (-2,-5) and (-2, 7), and asymptote y x+4. Sketch its graph. 9.
Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, +6), vertices: (0, +1) Need Help? Read It Watch It Talk to a Tutor [-70.83 Points] DETAILS SALGTRIG4 12.3.041. Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1,0), asymptotes: y = 5x Need Help? Read It Watch It Talk to a Tutor [-70.83 Points] DETAILS SALGTRIG4 12.3.043.MI. Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, +4), hyperbola passes...