17. Vertices: (1, 0) and (−1,0); foci: (5–√,0) and 1(−5–√,0); transverse axis: x-axis; the hyperbola opens left and right; vertices of the fundamental rectangle: (1,2),(−1,2),(−1,−2),(1,−2); asymptotes: y=±2x
19. Vertices: (1, 1) and (0,−1); foci: (0,2–√) and (0,−2–√); transverse axis: y-axis; the hyperbola opens up and down; vertices of the fundamental rectangle: (1,1),(−1,1),(−1,−1),(1,−1); asymptotes: y=±x
21. Vertices: (0, 2) and (0,−2); foci: (0,210−−√) and (0,−210−−√); transverse axis: y-axis; the hyperbola opens up and down; vertices of the fundamental rectangle: (6, 2) (−6,2),(−6,−2),(6,−2); asymptotes: y=±13x
23. Vertices: (3, 0) and (−3,0); foci: (13−−√,0) and (−13−−√,0); transverse axis: x-axis; the hyperbola opens left and right; vertices of the fundamental rectangle: (3,2),(−3,2),(−3,−2),(3,−2); asymptotes: y=±23x
25. Vertices: (0, 1) and (0,−1); foci: (0,5–√2) and (0,−5–√2); transverse axis: y-axis; the hyperbola opens up and down; vertices of the fundamental rectangle: (12,1),(−12,1),(−12,−1),(12,−1); asymptotes: y=±2x
27. Vertices: (13,0) and (−13,0); foci: (10−−√3,0) and (−10−−√3,0); transverse axis: x-axis; the hyperbola opens left and right; vertices of the fundamental rectangle: (13,1),(−13,1),(−13,−1),(13,−1); asymptotes: y=±3x