Conics Test

Find the ordered pair for the focus of the conic pictured.

• (5, 4)
• (3, 6)
• (1, 4)
• (3, 2)

Tags

CCSS.HSG.GPE.A.2

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

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

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

• (0, 3)
• (3, 0)
• (-2, 0)
• (2, 0)

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

A hyperbola has vertices at   (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b²?

• 12
• 144
• 4
• 16

Tags

CCSS.HSG.GPE.A.3

Find the ordered pairs of the vertices of the conic pictured.

• (-4, -4) and (6, -4)
• (4, 4) and (-6, 4)
• (-1, -1) and (-1, 9)
• The conic has no vertices.

Tags

CCSS.HSG.GPE.A.1

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

Tags

CCSS.HSG.GPE.A.2

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4
• x = 2
• y = -4
• y = -6

Tags

CCSS.HSG.GPE.A.2

What number would go in the blank?

• -2
• -4
• -8
• -16

Tags

CCSS.HSG.GPE.A.2