Conic Section Equations

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

• y = - 3

• x= 5

• y= - 5

• y= 2

Given the equation of the parabola, where would the VERTEX be? (put in standard form)

• ( 3 , 3)

• (24, 3)

• ( - 24, 3)

• (-3, 3)

Find the standard equation of the given ellipse

• 
• 
• 
• 

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

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form? What are the equations for the asymptotes?

• x²/25 + y²/11 = 1

• x²/5 - y²/11 = 1

• x²/11- y²/25 = 1

• x²/25 - y²/11= 1

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49

• (x+2)² + (y+3)² = 13

• (x-2)² + (y-3)² = 49

• (x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1

Identify the center and the radius of the circle in general form.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Name the conic section and find the center

25x² + 9y² + 50x - 36y - 164 = 0

• vertical ellipse; C(-1, 2)

• horizontal ellipse; C(-1, 2)

• horizontal ellipse; C(-2, 4)

• vertical ellipse; C(1, -2)

Tags

CCSS.HSG.GPE.A.1

Write the standard equation for the ellipse

Tags

CCSS.HSG.GPE.A.1

• Parabola

• Circle

• Ellipse

• Hyperbola