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
Complete the square to determine whether the equation represents an ellipse, a parabola. If the graph...
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
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 +...
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...
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:
Write down the equation of given parabola x? +8x+4y+12 =0 in standard form. State the vertex, focus and the equation of the directrix. Hence, sketch its graph. 4. Show that y² + 4y +8x + 12 = 0 represents a parabola. Hence, determine its focus, and directrix. [4 marks]
three a) Sketch the graph and complete the table for the polar equation 5-2cose Type of conic section (x, y) coordinates of vertex or vertices Eccentricity (x,y) coordinates of the focus or the foci (x,y) coordinates of the x intercept (x,y) coordinates of the y intercept Domain in interval notation Range in interval notation (x,y) equation of the directrix or directrices (x,y) coordinates of the center Standard equation in (x,y) variables three a) Sketch the graph and complete the table...
Find the focus and directrix of the parabola with the equation 8x2 + 8y = 0. Then choose the correct graph of the parabola. What are the coordinates for the focus of the parabola? (Type an ordered pair.) What is the equation for the directrix? Choose the correct graph for 8x² + 8y = 0 below. O N4
Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? - 2y +x=0 The vertex is (Type an ordered pair.) The focus is (Type an ordered pair.) The equation of the directrix is (Type an equation.) Use the graphing tool to graph the equation. Click to enlarge graph
Find an equation of the ellipse that has center (0, -3), a minor axis of length 10, and a vertex at (-9, -3).Below is the graph of a parabola with its vertex and another point on the parabola labeled. Write an equation of the parabola.
2) Determine the equation of the given graph of a hypberola: у $ (0.9) (-15.0) (15.0) +-X (-12,0) (12, 0) 0 (0.-9) Determine the equation of the graph of the given parabola: axis of symmetry focus parabola vertex directrix