Characteristics of an Ellipse

Identify the center of the ellipse.

• (0,0)

• (−3,1)

• (1,−3)

• (3,−1)

What is the center of the given equation?

• (h, k) = (4, 3)
• (h, k) = (-4, -3)
• (h, k) = (-4, 3)
• (h, k) = (4, -3)

Tags

CCSS.HSG.GPE.A.1

What are the vertices of the ellipse?

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

What is the equation for the foci of an ELLIPSE?

• c² = a² + b²

• c² = a² - b²

• 1/4d

• (x-h)² + (y-k)² = r²

Tags

CCSS.HSG.GPE.A.3

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.3

Determine the foci of the 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.3

Find the value of "c" (distance of focus) in the given ellipse

• 1.73

• 4.12

• 3.24

• 3.87

Tags

CCSS.HSG.GPE.A.3

Which describes the line containing the center and foci of an ellipse?

• Major Axis

• Minor Axis

• Vertices

• Co-Vertices

Tags

CCSS.HSG.GPE.A.3

Choose the equation that shows the standard form for an Ellipse.

•  $\left(x-h\right)^2+\left(y-k\right)^2=r^2$  

•  $\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}$   

•  $\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}$  

•  $\left(y-k\right)^2=4p\left(x-h\right)$  

Tags

CCSS.HSG.GPE.A.3

What are the co-vertices of the ellipse?

• (1, 5) and (1, -5)
• (0, 0) and (2, 0)
• (4, 0) and (6, 0)
• (1, 6) and (1, 4)

Tags

CCSS.HSG.GPE.A.3