Conic Sections Review

Which way does the parabola open?               (x+3)² = 4(y+5)  

• up 
• down
• left
• right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which parabola opens left?

• x² = y

• x² = -y

• y² = x

• y² = -x

What is the equation of the directrix?             (y - 4)² = -8(x+1) 

• x = -3 
• x = 1
• y = 6
• y = 2

Tags

CCSS.HSG.GPE.A.2

What is the coordinate of the focus?       (x+3)² = 4(y+5)  

• (-3, -4) 
• (-3, -6) 
• (-4, 5) 
• (-2, 5)

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 = -12(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = -12(y-2)

Tags

CCSS.HSG.GPE.A.2

What number would go in the blank?

• 4

• -4

• -8

• 8

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

What are the foci of the hyperbola with the equation y²/12 - x²/5 = 1

• (0, ±√17)
• (±√17, 0)
• (0, ±√7)
• (±√7, 0)

Tags

CCSS.HSG.GPE.A.3

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)

• (-4, 3) and (-4, -3)

• (0, 1) and (0, -1)

• (4, 0) and (-4, 0)

Tags

CCSS.HSG.GPE.A.3

A hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y = ± ¾x.  Which of the following could be the equation of the hyperbola in standard form?

• (x + 3)²/16 + (y - 2)²/ 9 = 1
• (x + 3)²/ 4 - (y - 2)²/ 3 = 1
• (x + 3)²/16 - (y - 2)²/ 9 = 1
• (x + 3)²/ 9 - (y - 2)²/ 16 = 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.3