Hyperbola Quiz

Hyperbola QUESTION 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

TRUE

FALSE

2 points

 

Hyperbola  QUESTION 2

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

(-3, 0) AND (3, 0)

(0, -3) AND (0, 3)

(-5, 0) AND (5, 0)

(0, -5) AND (0, 5)

2 points

Hyperbola QUESTION 3

What are the asymptotes of the following graph?
Imported Asset

y = plus or minus five-thirds x

y = plus or minus two-fifths x

y = plus or minus five-halves x

2 points

Hyperbola QUESTION 4

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

TRUE

FALSE

2 points

Hyperbola QUESTION 5

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

TRUE

FALSE

2 points

Hyperbola QUESTION 6

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

 

Hyperbola QUESTION 7

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

 

Hyperbola QUESTION 8

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

Hyperbola QUESTION 9

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

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

TRUE
FALSE

Last Updated on February 11, 2019 by EssayPro