Review of Circles and Parabolas

Find 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 )

Find the equation of the circle: 
 center (-2,-7), radius is 3

• (x + 2)² + (y + 7)² = 3
• (x - 2)² + (y - 7)² = 9
• (x + 2)² + (y + 7)² = 9
• (x - 2)² + (y - 7)² = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

Classify the given conic section and match it's characteristics:
(x - 3)² + ( y + 5)² = 25

• Ellipse; center (3, -5)
• Ellipse; Center (-3,  5) ; radius = 5
• Circle; Center (3, - 5) ; radius = 25
• Circle; Center (3, - 5) ; radius = 5

Tags

CCSS.HSG.GPE.A.1

Write the standard form of the circle: 
x² + y² +10y = 39 

• x² + (y+5)² = 49
• x² + (y+5)² = 64
• (x+5)² + y² = 61
• (x+5)² + y² = 100

Tags

CCSS.HSG.GPE.A.1

Which direction does this parabola open?

• Up
• Down
• Left
• Right

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

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

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

• x = 4
• x = 2
• y = -4
• y = -6

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)
• (y+4)² = -12x
• x² = 16(y+4)
• (x+4)²  = -20y