Hyperbolas Practice

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

Find the equation of hyperbola.

• $\frac{\left(x-2\right)^2}{16}-\frac{\left(y+3\right)^2}{20}=1$

• $\frac{\left(x+3\right)^2}{16}-\frac{\left(y-2\right)^2}{20}=1$

• $\frac{\left(x-2\right)^2}{20}-\frac{\left(y+3\right)^2}{16}=1$

• $\frac{\left(y+3\right)^2}{16}-\frac{\left(x-2\right)^2}{20}=1$

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)
• (-4, 3) and (-4, -3)
• (0, 1) and (0, -1)
• (4, 0) and (-4, 0)

What are the a and b values for the following hyperbola?
 $\frac{\left(x-4\right)^2}{25}-\frac{\left(y+2\right)^2}{4}=1$  

• a=25, b=4

• a=5, b=2

• a=4, b=-2

• a=0, b=0

What are the asymptotes of  the hyperbola below
 $\frac{\left(x-2\right)^2}{49}-\frac{\left(y+1\right)^2}{324}=1$  

•  $y=\pm\frac{18}{7}$  

•  $y=\pm\frac{7}{18}$  

•  $y=\pm\frac{49}{324}$  

•  $y=\pm\frac{324}{49}$  

The graph of the hyperbola is . . .

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

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

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the foci of the hyperbola with the equation y²/12 - x²/5 = 1

• (0, ±√17)
• (±√17, 0)
• (0, ±√7)
• (±√7, 0)

Center ?

• (-3 , 2)

• (2 , -3)

• (12 , 5)

• (5 , 12)