Conic Sections

Write an equation for the ellipse with each set of characteristics. Then answer the questions.

Vertices ( 4, 3), (4, - 9)

Length of minor axis is 8

What is the center of this ellipse? ___________________________

Write the equation in standard form_________________________

• (4, 6)

• ( - 4, 3)

• (6, 4)

• (4, -3)

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

What are the vertices of the ellipse?

Write the equation in standard form:



• (0, 0)

• (7, 1) and (-1, 1)

• (3, -5) and (3, 7)

• (3, 1)

• Vertical Hyperbola
• Vertical Ellipse
• Horizontal Hyperbola
• Horizontal Ellipse

Tags

CCSS.HSG.GPE.A.3

What are the asymptotes of the hyperbola in the picture?

• y = x and y = –x
• y = 2x and y = –2x
• y = ¹/₂x and y = –¹/₂x
• y = 2x and y = 4x

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25
• (x+5)²/4 + (y+3)²/9 = 1
• (x-5)²/2 + (y-3)²/3 = 1
• (x-5)²/4 + (y-3)²/9 = 1

Tags

CCSS.HSG.GPE.A.1

Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola

Tags

CCSS.HSG.GPE.A.3

Find the equation of the figure shown.

• (x-1)²/16 - (y+2)²/4 = 1
• (x+1)²/16 - (y-2)²/4 = 1
• (y+2)²/4 - (x-1)²/16 = 1
• (x-1)²/4 - (y+2)²/2 = 1

Tags

CCSS.HSG.GPE.A.3

Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola

Tags

CCSS.HSG.GPE.A.3

Which conic section is represented by the equation

9x² - 4y² - 54x - 40y - 55 = 0

Rewrite the equation in standard form

____________________________________

• Circle

• Ellipse

• Hyperbola

• Parabola