Conic Sections: A Review (without Hyperbolas)

If the vertex of the parabola is the point (–3, 0) and the directrix is the line x + 5 = 0, then its equation is

• y² = 8 (x + 3)
• y² = - 8 (x + 3)
• x² = 8 (y + 3)
• x² = - 8 (y + 3)

Identify the center and radius of the circle (x-4)² + (y+2)² = 36

• Center: (-4, 2)

  Radius: 36

• Center: (-4, -2)

  Radius: 6

• Center: (4, -2)

  Radius: 6

• Center: (4, 2)

  Radius: 36

Tags

CCSS.HSG.GPE.A.1

Which of the following is the standard form equation of a circle with center (5, 0) that passes through the point (2, -3)

• (x - 5)² + y² = 18

• (x + 5)² + y² = 58

• (x - 2)² + (y + 3)² = 25

• (x - 2)² + (y + 3)² = 18

Tags

CCSS.HSG.GPE.A.1

Change the following equation to standard form

6x²+6y²-24x+72y-48=0

• (x+2)²+(y-6)²=48

• (x-2)²+(y+6)²=48

• (x-6)²+(y-2)²=48

• (x+2)²+(y-6)²=48

Tags

CCSS.HSG.GPE.A.1

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

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 )

Which is the equation to find c on an ellipse?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²

Tags

CCSS.HSG.GPE.A.1

Find the ordered pairs of the vertices of the conic pictured.

• (-4, -4) and (6, -4)
• (4, 4) and (-6, 4)
• (-1, -1) and (-1, 9)
• The conic has no vertices.

Tags

CCSS.HSG.GPE.A.1

Classify the conic section:

x² + 8y² - 4x + 2 = x²

• circle

• ellipse

• hyperbola

• parabola

Tags

CCSS.HSG.GPE.A.1