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Determine whether the given equation represents an ellipse, a parabola, or a hyperbola. If the graph...
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
All 1. Consider the parabola 2 - 6x +10y - 1 = 0. () Find the vertex, focus, directrix, and axis of symmetry of the parabola. (b) Sketch the graph of the parabola. 2. Consider the ellipse 9x2 + 25y2 + 361 - 150y +36 = 0. (a) Find the center, vertices and foci of the ellipse. (b) Sketch the graph of the parabola. (b) Sketch the graph of the hyperbola. 3. Consider the hyperbola r? - 4y? +43 +...
5. 6. 7. 8. Find an equation of the hyperbola having foci at (3.3) and (3.9) and vertices at (3, 5) and (3.7). Ole X $ ? Check © 2020 McGraw- Question 6 of 6 (1 por 5 6 1 2 5 X. Find an equation of the hyperbola that has foci at (-13,0) and (13,0), and asymptotes y= ia x and y=-12 8 ? X Find an equation of the ellipse that has center (0, 2), a minor axis...
Find the equation of the parabola with focus (10, -3) and directrix y = 3. Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse hyperbola or parabola. a) 1 25 9 b) y2 + 6y + x - 6 = 0 c) x2 + y2 = 100
Find an equation of the parabola that satisfies the given conditions. Focus F(2,5), directrix y = -3 Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions. foci F(0, +6), conjugate axis of length 8
Please show all work 2) [7.2] Complete the square and graph the Ellipse: Give the center, foci and vertices. (7 points) 4x² + y2-16x-6y =15| Center: Foci: Vertices:
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...
Problem 3. 3.3) The ellipse with center (0,0) and vertex (0,5) contains the point (2, V15). Write the canonical equation of the ellipse. Problem 4. (3.4] A hyperbola is given by the equation 16y2 - 92 = 144. Find the coordinates of vertices and foci, and the equations of the 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.