Determine whether the given equation represents an ellipse, a parabola, or a hyperbola. If the graph is in ellipse, find the center, foci, vertices, and length of the major and minor axes. If it is a parabola, find the vertex, focus, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. Graph the equation. 4.2 + y2 – 16x + 6y + 16 = 0
Complete the square to determine whether the equation represents an ellipse, a parabola. If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the vertex, focus, and directrix. Then sketch the graph of the equation. 4x^2 +4x − 8y + 9 = 0
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
1. Find the vertex, the focus and the directrix of the parabola y2 + 4y - 8r. Make a sketch of the parabola, the directrix and the focus.
Consider the following. 12 7 + 7 cos(0) (a) Find the eccentricity e = Identify the conic. parabola O ellipse hyperbola (b) Find the vertices in polar coordinates. (If an answer does not exist, enter DNE.) conly vertex or vertex closest to the origin) (farthest from the origin) Sketch the graph. y 3 x 3 -2 3 3 2 7 3 -1 2 3 o
Find the vertex, focus, and directrix for the following parabolas. (a) (y - 2) = 2002 - 2) vertex : focus : directrix: (b) y2 - 4y = 20% - 22 Vertex focus : directrix (c) (z - 6) = 20(4-5) vertex focus directric (d) 22 + 402 = 4y - 8 vertex focus: directrix An arch is in the shape of a parabola. It has a span of 440 meters and a maximum height of 22 meters. Find the...
14. Find the center, vertices and foci of the ellipse. Sketch the ellipse. a. 9x24y2 = 36 b. Cx-2)2 Cy+3)2 + = 1 25 16 C. 2x2y= 2 + 4x - 4y 14. Find the center, vertices and foci of the ellipse. Sketch the ellipse. a. 9x24y2 = 36 b. Cx-2)2 Cy+3)2 + = 1 25 16 C. 2x2y= 2 + 4x - 4y
) Find the center and radius of the circle with equation x2 + 6x + y2 - 4y = 12. a) o center is (-3, 2) and radius is 5 b) o center is (3, -2) and radius is 5 c) center is (3, -2) and radius is 2/3 center is (-3, 2) and radius is 2/3 4) The equation of the parabola with focus (-3, 2) and vertex at (-3, 0) is (x +3) = - 8(y 2) a)...
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.