9 05 hyperbola quiz

Question 1

  1. The vertices of the following graph are at (-2, 0) and (2, 0).
    hyperbola with center at (0, 0), opening right and left, vertical axis has length 6 and horizontal axis has length 4

2 points

Question 2

  1. What are the co-vertices of the following graph?
    hyperbola with center at (0, 0), opening up and down, vertical axis has length 6 and horizontal axis has length 10

2 points

Question 3

  1. What are the asymptotes of the following graph?
    Imported Asset

    y = plus or minus five-thirds x
    y = plus or minus two-fifths x
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    y = plus or minus five-halves x

2 points

Question 4

  1. The center of the following graph is (1, -4).
    hyperbola with center at (1, negative 3), opening up and down, vertical axis has length 4 and horizontal axis has length 2 times the square root of 2

2 points

Question 5

  1. The foci of the following graph are the points 1, negative square root of 5 and 1, square root of 5
    hyperbola with center at (1, negative 3), opening up and down, vertical axis has length 4 and horizontal axis has length 2 times the square root of 2

2 points

Question 6

  1. What is the equation of the following graph?
    hyperbola with center at (1, negative 3), opening up and down, vertical axis has length 4 and horizontal axis has length 2 times the square root of 2

    y plus 3 quantity squared divided by 2 minus x minus 1 quantity squared divided by 4 equals 1
    y minus 3 quantity squared divided by 4 minus x minus 1 quantity squared divided by 2 equals 1
    y plus 3 quantity squared divided by 4 minus x minus 1 quantity squared divided by 2 equals 1
    y plus 1 quantity squared divided by 4 minus x minus 3 quantity squared divided by 2 equals 1

2 points

Question 7

  1. Write the equation of a hyperbola with vertices (-3, 0) and (3, 0) and co-vertices (0, -5) and (0, 5).
    y squared divided by 9 minus x squared divided by 25 equals 1
    x squared divided by 9 minus y squared divided by 25 equals 1
    x squared divided by 25 minus y squared divided by 9 equals 1
    y squared divided by 25 minus x squared divided by 9 equals 1

2 points

Question 8

  1. Write the equation of a hyperbola with vertices (0, -2) and (0, 2) and co-vertices (-4, 0) and (4, 0).
    y squared divided by 16 minus x squared divided by 4 equals 1
    x squared divided by 4 minus y squared divided by 16 equals 1
    y squared divided by 4 minus x squared divided by 16 equals 1
    x squared divided by 16 minus y squared divided by 4 equals 1

2 points

Question 9

  1. Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).
    x minus 4 quantity squared divided by 4 minus y minus 5 quantity squared divided by 5 equals 1
    x plus 4 quantity squared divided by 4 minus y minus 5 quantity squared divided by 5 equals 1
    x minus 4 quantity squared divided by 4 minus y plus 5 quantity squared divided by 5 equals 1
    x minus 4 quantity squared divided by 5 minus y minus 5 quantity squared divided by 4 equals 1

2 points

Question 10

  1. The symmetry of a hyperbola with a center at (h, k) only occurs at x = h.


 

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