Conic Sections Review

Which conic section is represented by the equation

x² + y² - 10x - 4y - 21 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Tags

CCSS.HSG.GPE.A.1

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

• y = - 3
• x= 5
• y= - 5
• y= 2

Tags

CCSS.HSG.GPE.A.2

What are the foci of the shifted ellipse?

• (-5,1) and (-1,1)
• (±√3,0)
• (0,1) and (-6,1)
• (√3 - 3,1) and (-√3 - 3,1)

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.HSG.GPE.A.3

Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola

Tags

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3

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

Tags

CCSS.HSG.GPE.A.2

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

Which conic section is represented by the equation

4x² + 25y² - 8x + 150y + 129 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Tags

CCSS.HSG.GPE.A.3

What is the center, a and b values for the following equation:
x² + 4y² + 16x - 80y + 320 = 0

• (-8, 10); a = 12, b = 6
• (-8, 10); a = 6, b = 12
• (8, -10); a = 12, b = 6
• (8, -10); a = 6, b = 12

Tags

CCSS.HSG.GPE.A.1

Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola

Tags

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3