Tutorial Exercise Find the center, foci, vertices, and eccentricity of the ellipse, and sketch its graph. 25x² + y² = 25 Step 1 To find the center, focus, vertices, and eccentricity of the ellipse, compare the given equation with the standard equation of an ellipse The standard form of the equation of an ellipse with center (h, k) and major and minor axes of lengths 2a and 2b, where a > b, is (x-h)²(y-k)² = 1 (horizontal✔ horizontal major axis) or (x-h)² + (y-k²- = 1 The foci of the ellipse lie on the major axis c units from the center, with c= V b² Step 2 The given equation for the ellipse is 25x² + y2 = 25. Divide both sides by 25. y² v2 25✔ 25 Center (h, k): (0.0 Submit Answer vertical Submit Skip (you cannot come back) Show My Work (Optional) -1✓ 1 Step 3 By comparing the standard equation of an ellipse with the given equation, the following is obtained. Note that this ellipse has a vertical major axis. a²1 X. b²25 xh=0, k=0 c²=3²-b² = 24 vertical major axis). b². The vertices are (h, kt a) when x = h is the major axis.