Circles and Ellipses Applications

Find the equation of the graph:

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Tags

CCSS.HSG.GPE.A.1

Which of the following gives the standard form equation of a circle with center (-6, -4) and a radius of 16?

• (x + 6)² + (y + 4)² = 16²

• (x + 6)² + (y + 4)² = 16

• (x - 6)² + (y - 4)² = 16²

• (x - 6)² + (y - 4)² = 16

Tags

CCSS.HSG.GPE.A.1

Find the standard form equation of the ellipse with vertices (2,8), (2,-2), and co-vertices (-1,3), (5,3).

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Tags

CCSS.HSG.GPE.A.1

Graph the ellipse:

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Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

• (-3, -4)
• (4, 3)
• (-4, -3)
• (3, 4)

Tags

CCSS.HSG.GPE.A.1

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Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y+3)²=49, the radius of the circle is...

• 14
• 98
• 7
• 49

Tags

CCSS.HSG.GPE.A.1

What are the major vertices of the ellipse in this picture?

• (2, 0), (–2, 0)
• (0, 2), (0, –2)
• (0, 4), (0, –4)
• (4, 0), (–4, 0)

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

What is the equation of the circle, with center (-4,5) and radius 6 units?

• (x - 4)² + (y + 5)² = 6
• (x - 4)² + (y + 5)² = 36
• (x + 4)² + (y - 5)² = 6
• (x + 4)² + (y - 5)² = 36

Tags

CCSS.HSG.GPE.A.1