Foci: ({±√36, 0) ;asymptotes: y = ±5/3x

Foci: ({±√38, 0) ;asymptotes: y = ±5/3x

Foci: ({±√34, 0) ;asymptotes: y = ±5/3x

Foci: ({±√54, 0) ;asymptotes: y = ±6/3x

Focus: (0, -1/4); directrix: y = 1/4

Focus: (0, -1/6); directrix: y = 1/6

Focus: (0, -1/8); directrix: y = 1/8

Focus: (0, -1/2); directrix: y = 1/2

Focus: (2, 0); directrix: x = -1

Focus: (3, 0); directrix: x = -1

Focus: (5, 0); directrix: x = -1

Focus: (1, 0); directrix: x = -1

Foci at (1, -√11) and (1, √11)

Foci at (0, -√25) and (0, √25)

Foci at (0, -√22) and (0, √22)

Foci at (0, -√21) and (0, √21)

Foci at (-2√3, 0) and (2√3, 0)

Foci at (5√3, 0) and (2√3, 0)

Foci at (-2√3, 0) and (5√3, 0)

Foci at (-7√2, 0) and (5√2, 0)

(x − 7)2/6 + (y − 6)2/7 = 1$(x–7{)}^{\mathrm{}}/6+(y–6{)}^{\mathrm{}}/7=1$

(x − 7)2/5 + (y − 6)2/6 = 1$(x–7{)}^{\mathrm{}}/5+(y–6{)}^{\mathrm{}}/6=1$

(x − 7)2/4 + (y − 6)2/9 = 1$(x–7{)}^{\mathrm{}}/4+(y–6{)}^{\mathrm{}}/9=1$

(x − 5)2/4 + (y − 4)2/9 = 1$(x–5{)}^{\mathrm{}}/4+(y–4{)}^{\mathrm{}}/9=1$

Vertex: (-1, -3); focus: (1, -3); directrix: x = -3

Vertex: (-1, -1); focus: (4, -3); directrix: x = -5

Vertex: (-2, -3); focus: (2, -4); directrix: x = -7

Vertex: (-1, -3); focus: (2, -3); directrix: x = -4

Vertices at (0, 5) and (0, -5); foci at (0, 14) and (0, -14)

Vertices at (0, 6) and (0, -6); foci at (0, 13) and (0, -13)

<p> Vertices at (0, 2) and (0, -2); foci at (0, √5) and (0, -√5)</p>

Vertices at (0, 1) and (0, -1); foci at (0, 12) and (0, -12)

Focus: (0, -1), directrix: y = 1

Focus: (0, -2), directrix: y = 1

Focus: (0, -4), directrix: y = 1

Focus: (0, -1), directrix: y = 2

Vertex: (3, 1); focus: (1, 3); directrix: y = -1

Vertex: (2, 1); focus: (2, 3); directrix: y = -1

Vertex: (1, 1); focus: (2, 4); directrix: y = -1

Vertex: (2, 3); focus: (4, 3); directrix: y = -1

x2/43 + y2/28 = 1$x^2/43+y^2/28=1$

x2/33 + y2/49 = 1$x^2/33+y^2/49=1$

x2/53 + y2/21 = 1$x^2/53+y^2/21=1$

x2/13 + y2/39 = 1$x^2/13+y^2/39=1$

Vertex: (0, -1); focus: (-2, -1); directrix: x = 2

Vertex: (0, -1); focus: (-3, -1); directrix: x = 3

Vertex: (0, -1); focus: (2, -1); directrix: x = 1

Vertex: (0, -3); focus: (-2, -1); directrix: x = 5

Foci at (0, -√2) and (0, √2)

Foci at (0, -√1) and (0, √1)

Foci at (0, -√7) and (0, √7)

Foci at (0, -√5) and (0, √5)

Vertices at (2, 0) and (−2, 0); foci at (√5, 0) and (−√5, 0)$Verticesat(2,0)and(–2,0);fociat(\surd 5,0)and(–\surd 5,0)$

Vertices at (3, 0) and (−3 0); foci at (12, 0) and (−12, 0)$Verticesat(3,0)and(–30);fociat(12,0)and(–12,0)$

Vertices at (4, 0) and (−4, 0); foci at (16, 0) and (−16, 0)$Verticesat(4,0)and(–4,0);fociat(16,0)and(–16,0)$

Vertices at (5, 0) and (−5, 0); foci at (11, 0) and (−11, 0)$Verticesat(5,0)and(–5,0);fociat(11,0)and(–11,0)$

(x – 4)² = 4(y – 2); vertex: (1, 4); focus: (1, 3) ; directrix: y = 1

(x – 2)² = 4(y – 3); vertex: (1, 2); focus: (1, 3) ; directrix: y = 3

(x – 1)² = 4(y – 2); vertex: (1, 2); focus: (1, 3) ; directrix: y = 1

(x – 1)² = 2(y – 2); vertex: (1, 3); focus: (1, 2) ; directrix: y = 5

x2/4 − y2/6 = 1$x^2/4–y^2/6=1$

x2/6 − y2/7 = 1$x^2/6–y^2/7=1$

x2/6 − y2/7 = 1$x^2/6–y^2/7=1$

x2/9 − y2/7 = 1$x^2/9–y^2/7=1$

(x + 2)2/4 + (y − 3)2/25 = 1$(x+2{)}^{\mathrm{}}/4+(y–3{)}^{\mathrm{}}/25=1$

(x + 4)2/4 + (y − 2)2/25 = 1$(x+4{)}^{\mathrm{}}/4+(y–2{)}^{\mathrm{}}/25=1$

(x + 3)2/4 + (y − 2)2/25 = 1$(x+3{)}^{\mathrm{}}/4+(y–2{)}^{\mathrm{}}/25=1$

(x + 5)2/4 + (y − 2)2/25 = 1$(x+5{)}^{\mathrm{}}/4+(y–2{)}^{\mathrm{}}/25=1$

{(0, -2), (0, 4)}

{(0, -2), (0, 1)}

{(0, -3), (0, 1)}

{(0, -1), (0, 1)}

(0, ±√4/2); asymptotes: y = ±1/3x$(0,\pm \surd 4/2);asymptotes:y=\pm 1/3x$

(0, ±√5/2); asymptotes: y = ±1/2x$(0,\pm \surd 5/2);asymptotes:y=\pm 1/2x$

(0, ±√5/4); asymptotes: y = ±1/3x$(0,\pm \surd 5/4);asymptotes:y=\pm 1/3x$

(0, ±√5/3); asymptotes: y = ±1/2x$(0,\pm \surd 5/3);asymptotes:y=\pm 1/2x$

x2/23 + y2/6 = 1$x^2/23+y^2/6=1$

x2/24 + y2/2 = 1$x^2/24+y^2/2=1$

x2/13 + y2/9 = 1$x^2/13+y^2/9=1$

x2/28 + y2/19 = 1$x^2/28+y^2/19=1$

{(0, -1, -2)}

{(2, 0, 2)}

{(1, -1, 2)}

{(4, -1, 3)}

{(1, 2, -1)}

{(2, 1, -1)}

{(1, 2, 0)}

{(1, 3, -1)}

{(3, -1, 0)}

{(2, -1, 0)}

{(3, -2, 1)}

{(2, -1, 1)}

{(8, 2)}

{(3, -4)}

{(2, 5)}

{(7, 4)}

{(7, 2)}

{(8, -2)}

{(5, 2)}

{(9, 3)}

{(3, -1, -1)}

{(2, -3, -1)}

{(2, -2, -4)}

{(2, 0, -1)}

{(14, -10, -3)}

{(10, -2, -6)}

{(15, -12, -4)}

{(11, -13, -4)}

{(-4t + 2, 2t + 1/2, t)}

{(-3t + 1, 5t + 1/3, t)}

{(2t + -2, t + 1/2, t)}

{(-2t + 2, 2t + 1/2, t)}

{(-2, 1, 2)}

{(-3, 4, -2)}

{(5, -4, -2)}

{(-2, 0, -1)}

{(3, 1/5)}

{(5, 1/3)}

{(1, 1/2)}

{(2, 1/2)}

{(2, -3)}

{(1, 3)}

{(3, -5)}

{(1, -7)}

{(2t + 4, t + 1, t)}

{(2t + 5, t + 2, t)}

{(1t + 3, t + 2, t)}

{(3t + 3, t + 1, t)}

{(3, 1)}

{(4, 2)}

{(5, 1)}

{(2, 1)}

{(6t + 28, -7t – 6, t)}

{(7t + 18, -3t – 7, t)}

{(7t + 19, -1t – 9, t)}

{(4t + 29, -3t – 2, t)}

3 * 4; a₃₂ = 1/45; a₂₃ = 6

3 * 4; a₃₂ = 1/2; a₂₃ = -6

3 * 2; a₃₂ = 1/3; a₂₃ = -5

2 * 3; a₃₂ = 1/4; a₂₃ = 4

{(1, 3, 2, 1)}

{(1, 4, 3, -1)}

{(1, 5, 1, 1)}

{(-1, 2, -2, 1)}

{(-47t + 4, 12t, 7t + 1, t)}

{(-37t + 2, 16t, -7t + 1, t)}

{(-35t + 3, 16t, -6t + 1, t)}

{(-27t + 2, 17t, -7t + 1, t)}

{(-1, -3, 7)}

{(-6, -2, 4)}

{(-5, -2, 7)}

{(-4, -1, 7)}

{(3, -1)}

{(2, -1)}

{(3, -7)}

{(2, 0)}