Conics: Equation of a Hyperbola

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

• c² = a² + b²
• c² = a² - b²
• 4p
• (x-h)² + (y-k)² = r²

Tags

CCSS.HSG.GPE.A.3

Which way does the hyperbola open?

• up and down

• left or right

The equation of the hyperbola, in standard form is . . .

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.3

What are the vertices of the hyperbola?

• (0, 5) and (0, -5)
• (5, 0) and (-5, 0)
• (0, 25) and (-25, 0)
• (0, 0) and (0, 5)

Tags

CCSS.HSG.GPE.A.3

What is a and b?

• a = 1, b = 2

• a = 9, b = 4

• a = 3, b = 2

• a = 25, b = 10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

In which direction does the hyperbola open?

• up and down

• left and right

Write in standard form,  $x^2-4y^2+10x+32y-75=0$  

•  $\frac{\left(y-4\right)^2}{36}-\frac{\left(x+5\right)^2}{9}=1$  

•  $\frac{\left(y-4\right)^2}{9}-\frac{\left(x+5\right)^2}{36}=1$  

•  $\frac{\left(y-4\right)^2}{9}-\frac{\left(x-5\right)^2}{36}=1$  

•  $\frac{\left(x+5\right)^2}{36}-\frac{\left(y-4\right)^2}{9}=1$  

Choose the graph of the hyperbola with equation:  $\frac{y^2}{25}-\frac{x^2}{9}=1$  

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.3

Write the standard form of the following equation:

x² - 4y² + 6x - 8y = 11

• $\frac{\left(x+3\right)^2}{16}-\frac{\left(y+1\right)^2}{4}=1$

• $\frac{\left(x+3\right)^2}{16}-\frac{\left(y-1\right)^2}{4}=1$

• $\left(x+3\right)^2-\frac{\left(y+1\right)^2}{4}=1$

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

Coordinates of the center?

• (0 , 0)

• (5 , 9)

• (9 , 5)

• (81 , 25)

Tags

CCSS.HSG.GPE.A.1