Equations of an Ellipse

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(y-3)²=25, the radius is

• 4
• 3
• 5
• 25

Tags

CCSS.HSG.GPE.A.1

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

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

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

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

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

The major axis is...

• the x-axis
• the y-axis

Tags

CCSS.HSG.GPE.A.1

Given the following, write the equation of the ellipse.

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

If an ellipse has its center at (2,–3) and the major axis has an endpoint of (–4,–3), then the length of the major axis is . . .

• 3

• 6

• 8

• 12

Tags

CCSS.HSG.GPE.A.1

Write the equation, given:

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1