Ellipses and Hyperbolas

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

The image provided is the equation of a(n)...

• circle
• ellipse
• parabola
• hyperbola

Tags

CCSS.HSG.GPE.A.1

What is the center of the shifted ellipse?

• (0,0)
• (-3,1)
• (1,-3)
• (3,-1)

Tags

CCSS.HSG.GPE.A.1

Identify the ellipse as horizontal or vertical. Determine the value of a and b.

• Horizontal; a=3, b=2
• Vertical; a=3, b=2
• Horizontal; a=2, b=3
• Vertical; a=2, b=3

Tags

CCSS.HSG.GPE.A.1

What is the center of the shifted ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

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CCSS.HSG.GPE.A.1

What are the coordinates of the vertices of the shifted ellipse?

• (1, 5) and (1, -5)
• (0, 5) and (0, -5)
• (1, 1) and (1, -1)
• (0, 1) and (0, -1)

What are the vertices of the shifted ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)

Tags

CCSS.HSG.GPE.A.1

Given a translated ellipse with vertices (-7, -3), (13, - 3) and foci (- 5, -3) , (11 , -3), what are a and b?

• a = 10 , b = 6
• a = 6 , b = 10
• a = 36 , b = 100
• a = 100 , b = 36

Tags

CCSS.HSG.GPE.A.1

Given a translated ellipse with vertices (4, 3), (4, - 9) and the length of the minor axis is 8, what are the values of a and b?

• a = 6, b = 3
• a = 6, b = 4
• a = 36, b = 16
• a = 4, b = 6

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of 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