Sketch the graph of the following hyperbola. Specify the coordinates of the vertices and foci, and...
Find an equation of the following curve, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work A hyperbola with vertices (+ 1,0) and eccentricity 3 The foci of the hyperbola are (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed.) The equations for the asymptotes of the hyperbola are y=+ (Type an exact answer.) Write the equations...
Graph the following conic section, identify the vertices, foci, directrices, and asymptotes (if they exist). Use a graphing utility to check your work OA. OB r= 10 - 10 sin 0.6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Express your answer using Cartesian coordinates. O A. The focus/i is/are (Type an ordered pair. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There...
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...
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.
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.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
hyperbola centered at the origin of the xy-plane are shown below. Find the hyperbola's standard form equation in Cartesian coordinates. Eccentricity: 5 Foci (0,t 10) What is the hyperbola's standard-form equation in Cartesian coordinates? Type an equation.) Find the foci of the ellipse with the given equation. Then draw its graph 2x2 +5y2 = 10 The foci of the ellipse are (Use a comma to separate answers. Type an ordered pair. Type an exact Choose the correct graph of the...
Find the foci of the ellipse with the given equation. Then draw its graph. Choose the correct graph below. 4x² +9y2 = 36 O A. The foci of the ellipse are . (Use a comma to separate answers. Type an ordered pair. Type an exact answer.) O O Draw the graph. LITH 204 O O 20 L-20D 20
Sketch the graph of the following function. State where any intercepts occur, where asymptotes occur, where any relative extrema occur, where the function is increasing or decreasing, where any inflection points occur, and where the graph is concave up or concave down. 22 x² - 4 Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA (Simplify your answer. Type an ordered pair Use integers or fractions for any...