Quiz about hyperbolas review game

Question 1

What is the center of the hyperbola?

Accepted Answer

(-4, 0)

Answer

(0, 4)

Answer

(4, 0)

Answer

(0, -4)

Question 2

Is the hyperbola vertical or horizontal?

Accepted Answer

Vertical

Answer

Horizontal

Question 3

What are the vertices of the hyperbola?

Accepted Answer

(0, 5) and (0, -5)

Answer

(5, 0) and (-5, 0)

Answer

(0, 25) and (-25, 0)

Answer

(0, 0) and (0, 5)

Question 4

Write the standard form of the following equation:
x²- 4y² + 6x - 8y = 11

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 5

Write the standard form of the following equation:
9y²- 4x² + 36y + 32x - 64 = 0

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 6

What is the value of a² for the given hyperbola?

Accepted Answer

25

Answer

1

Answer

-2

Answer

16

Question 7

What is the equation describing the relationship between dimensions and foci of a hyperbola?

Accepted Answer

c² = a² + b²

Answer

c² = a² - b²

Answer

4p

Answer

(x-h)² + (y-k)² = r²

Question 8

What are the vertices of the hyperbola?

Accepted Answer

(-4, 3) and (-4, -3)

Answer

(0, 3) and (0, -3)

Answer

(0, 1) and (0, -1)

Answer

(4, 0) and (-4, 0)

Question 9

What is the equation of this hyperbola?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 10

Which of the following is true given this equation of a hyperbola?

Accepted Answer

It opens up and down because y is first

Answer

It left and right because 25 > 16

Question 11

A hyperbola has vertices at (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b²?

Accepted Answer

12

Answer

144

Answer

4

Answer

16

Question 12

What is a and b?

Accepted Answer

a = 3, b = 2

Answer

a = 1, b = 2

Answer

a = 9, b = 4

Answer

a = 25, b = 10

Question 13

Which of the following equations of a hyperbola have a horizontal transverse axis?

Accepted Answer

Option A is correct

Accepted Answer

Option D is correct

Answer

B.

Answer

C.

Question 14

What is the center of the following hyperbola?
$$4x^2-9y^2-8x-72y=176$$

Accepted Answer

(1, 4)

Answer

(36, 25)

Answer

(9, 4)

Answer

(0, 0)

Question 15

Use the graph to write the standard form equation of the hyperbola.

Accepted Answer

$$\frac{\left(y-2\right)^2}{4}-\frac{x^2}{25}=1$$

Answer

$$\frac{\left(x-2\right)^2}{4}-\frac{y^2}{25}=1$$

Answer

$$\frac{\left(y-2\right)^2}{25}-\frac{x^2}{4}=1$$

Answer

$$\frac{\left(x-2\right)^2}{25}-\frac{y^2}{4}=1$$

Question 16

Use the graph to write the standard form equation of the hyperbola.

Accepted Answer

$$\frac{y^2}{10}-\frac{\left(x-1\right)^2}{10}=1$$

Answer

$$\frac{y^2}{10}+\frac{\left(x-1\right)^2}{10}=1$$

Answer

$$\frac{x^2}{10}-\frac{\left(y-1\right)^2}{10}=1$$

Answer

$$\frac{x^2}{10}+\frac{\left(y-1\right)^2}{10}=1$$

Question 17

What direction does the hyperbola open?

Accepted Answer

Up and Down

Answer

Left and Right

Question 18

Equation ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 19

Center ?

Accepted Answer

(-3 , 2)

Answer

(2 , -3)

Answer

(12 , 5)

Answer

(5 , 12)

Question 20

Vertices ?

Accepted Answer

(-15 , 2) ; (9 , 2)

Answer

(15 , 2) ; (-9 , 2)

Answer

(-15 , -2) ; (9 , -2)

Answer

(15 , -2) ; (-9 , -2)

Question 21

Question 21.

Accepted Answer

(-1, 5)

Answer

(-3, 5)

Answer

(1, 5)

Answer

(0, 5)

Question 22

Which type of conic section is this equation?

Accepted Answer

hyperbola

Answer

circle

Answer

ellipse

Answer

parabola

Question 23

Question 23.

Accepted Answer

hyperbola

Answer

circle

Answer

ellipse

Answer

parabola

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics