ELLIPSES

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

Given the following, write the equation of the ellipse.

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.3

_________ contains the center and foci.

• Major Axis

• Minor Axis

• Vertices

• Co-Vertices

Write an equation for the ellipse with each set of characteristics. Then answer the question.
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what type of an ellipse has these characteristics?

• vertical ellipse
• horizontal ellipse

What are the vertices of the ellipse?

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

What are the vertices of the 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.3

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

Standard Form of an Ellipse

• (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

The major axis is:

• The shorter axis of an ellipse
• The longer axis of an ellipse
• The closest point closest to the Sun
• The farthest point closest to the Sun