2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)2 = 144 B. 9(x + 3)2 – 16(y – 1)2 = 144 C. (x - 3)2 – (y + 1)2 = 144 D. 9(x - 3)2 – 16(y – 1)2 = 144 3. Rewrite the equation of the hyperbola 9x2 - y2 = 81 in the standard form. c.-=1 D. -=1 A.-= 1 x2 С. y2 81 B. 81 = 9 7 4. Graph the equation 9y2 + 36y – x2 + 6x = 54. А. (y-(-2))² _ (x-3)² С. 9 (y-2)²_ (x-3)² = 1 1 - %3D 81 81 В. 3 (y-(-2))² (x-3)² = 1 (y-(-2))²_ (x-3)² = 1 9. D. - 3

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Chapter1: Functions And Models
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VI. Assessment
Read the following statements. Choose the letter of the correct answer.
1. Give the center of hyperbola represented by the equation
А. (0, 9)
В. (0, 0)
С. (25, 0)
D. (9, 25)
2.The equation of a hyperbola that is centered at (3, -1).
A. 9(x + 3)2 – 16(y + 1)² = 144
B. 9(x + 3)2 – 16(y - 1)2 = 144
C. (x – 3)2 – (y + 1)2 = 144
D. 9(x - 3)2 —- 16(у - 1)2 %3D144
3. Rewrite the equation of the hyperbola 9x2 – y2 = 81 in the standard form.
c. -
D. -
A.- = 1
= 1
81
В.
81
9.
4. Graph the equation 9y² + 36y – x² + 6x = 54.
(y-(-2))² _ (x-3)²
(y-2)?_ (x-3)²
А.
= 1
81
С.
= 1
81
9
(y-(-2))²
В.
(x-3)2
= 1
(y-(-2))²
D.
(х-3)2
= 1
3
5. Give the coordinates of the vertices of the fundamental rectangle of the
hyperbola
25
(x-4) y2
= 1
А. (3, 1), (3, -1), (-1, -1), (1, -1)
В. (9, 3), (9, -3), (-1, 3), (-1, -3)
С. (9, 9), (9, -9), (-1, -9), (1, -9)
D. (9, 1), (9, –1), (-1, –3), (1, -3)
6. Give the coordinates of the vertices of hyperbola represented by the
x2
equation
9
(y+1)2
= 1
25
А. (-2, — 1), (2, —1)
В. (-1, —3), (1,3)
С. (-3, —1),(3, —1)
D. (-5, –1), (5, –1)
7. Give the coordinates of the foci of the hyperbola represented by the
x2
y2
Equation
64
= 1
36
А. (0, 0), (1, —1)
B. (-6, 0),(6,0)
C. (-8, 0), (8, 0)
D. (-10, 0), (10,0)
8. The length of the conjugate axis of the hyperbola given by the equation
A.12 units
C. 24 units
B.20 units
D. 100 units
(x+1)² _ = 1
9. The opening of the branches of the hyperbola
34
49
A. upward and to the right
C. left and right
B. downward and to the left
D. upward and downward
10. The equation of the hyperbola given by the graph below.
1 -10
-1
= 1
1
В.
64
1
D.
1
36
36
Transcribed Image Text:VI. Assessment Read the following statements. Choose the letter of the correct answer. 1. Give the center of hyperbola represented by the equation А. (0, 9) В. (0, 0) С. (25, 0) D. (9, 25) 2.The equation of a hyperbola that is centered at (3, -1). A. 9(x + 3)2 – 16(y + 1)² = 144 B. 9(x + 3)2 – 16(y - 1)2 = 144 C. (x – 3)2 – (y + 1)2 = 144 D. 9(x - 3)2 —- 16(у - 1)2 %3D144 3. Rewrite the equation of the hyperbola 9x2 – y2 = 81 in the standard form. c. - D. - A.- = 1 = 1 81 В. 81 9. 4. Graph the equation 9y² + 36y – x² + 6x = 54. (y-(-2))² _ (x-3)² (y-2)?_ (x-3)² А. = 1 81 С. = 1 81 9 (y-(-2))² В. (x-3)2 = 1 (y-(-2))² D. (х-3)2 = 1 3 5. Give the coordinates of the vertices of the fundamental rectangle of the hyperbola 25 (x-4) y2 = 1 А. (3, 1), (3, -1), (-1, -1), (1, -1) В. (9, 3), (9, -3), (-1, 3), (-1, -3) С. (9, 9), (9, -9), (-1, -9), (1, -9) D. (9, 1), (9, –1), (-1, –3), (1, -3) 6. Give the coordinates of the vertices of hyperbola represented by the x2 equation 9 (y+1)2 = 1 25 А. (-2, — 1), (2, —1) В. (-1, —3), (1,3) С. (-3, —1),(3, —1) D. (-5, –1), (5, –1) 7. Give the coordinates of the foci of the hyperbola represented by the x2 y2 Equation 64 = 1 36 А. (0, 0), (1, —1) B. (-6, 0),(6,0) C. (-8, 0), (8, 0) D. (-10, 0), (10,0) 8. The length of the conjugate axis of the hyperbola given by the equation A.12 units C. 24 units B.20 units D. 100 units (x+1)² _ = 1 9. The opening of the branches of the hyperbola 34 49 A. upward and to the right C. left and right B. downward and to the left D. upward and downward 10. The equation of the hyperbola given by the graph below. 1 -10 -1 = 1 1 В. 64 1 D. 1 36 36
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