ellipse and hyperbola

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

Standard Form of a Hyperbola

• (x-h)² + (y-k)² = r²
• (x-h)²/a² + (y-k)²/b² = 1
• (x-h)²/a² - (y-k)²/b² = 1
• x = a(y-h)² + k

What is the center of the shifted ellipse?

• (0,0)
• (-3,1)
• (1,-3)
• (3,-1)

Tags

CCSS.HSG.GPE.A.1

Which is the center of the circle with the equation

(x - 3)² + (y + 5)² = 16

• (3, 5)

• (-3, 5)

• (5, -3)

• (3, -5)

Tags

CCSS.HSG.GPE.A.1

• (4, -2)

• (2, -4)

• (-2, 4)

• (-4, 2)

Tags

CCSS.HSG.GPE.A.1

• (-3, 5)

• (1, 5)

• (-1, 5)

• (0, 5)

Tags

CCSS.HSG.GPE.A.1

Identify the center and the length of a and b.

• C: (0,4)  a= 25, b=4
• C: (0,0)  a= 4, b=25
• C: (0,5)  a= 2, b=5
• C: (0,0)  a= 5, b=2

Tags

CCSS.HSG.GPE.A.1

What are the foci of the shifted ellipse?

• (-5,1) and (-1,1)
• (±√3,0)
• (0,1) and (-6,1)
• (√3 - 3,1) and (-√3 - 3,1)

Tags

CCSS.HSG.GPE.A.1

What is the equation for the focus points on an ELLIPSE?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²

Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1