Circles and Ellipses Review

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to (x-4)²+ (y+4)²=25

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3

• center= (-7,1) radius= 7

• center= (-4,1) radius= 5

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

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 are 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)

Tags

CCSS.HSG.GPE.A.1

Write the standard equation for the ellipse

Tags

CCSS.HSG.GPE.A.1

Find the equation of the ellipse in standard form.

Tags

CCSS.HSG.GPE.A.1

Find the standard equation of the given ellipse

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Tags

CCSS.HSG.GPE.A.1