Diagnostic Exam Conics Precalculus

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3
• x= 5
• y= - 5
• y= 2

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)
• ( -5, 2)
• (1 , -5 )
• (-1, -5 )

True or False?
When the x-part is squared, the parabola opens up or down.

• True
• False

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

Tags

CCSS.HSG.GPE.A.1

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -2, -4), (-2, 8)
Length of minor axis is 10
What is the center of the ellipse?

• ( - 2, 2)
• (- 2, 4)
• (2, -2)
• (-2, 1)

Tags

CCSS.HSG.GPE.A.1

What direction does the parabola open?
(y-9)² = -40(x+4)

• Up
• Down
• Left
• Right

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what is the center of this ellipse?

• (4, 6)
• ( - 4, 3)
• (6, 4)
• (4, -3)

Tags

CCSS.HSG.GPE.A.1

What number would go in the blank?

• -2
• -4
• -8
• -16

Tags

CCSS.HSG.GPE.A.2

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)
• (y-2)² = 6(x-1)
• (x-1)² = 12(y-2)
• (x-1)² = 6(y-2)

6x² + 6y² – 3x + 4y = 0

• Circle
• Parabola
• Hyperbola
• Ellipse