Conics

Which conic is given by (x-4)² = 8(y - 3)?

• Hyperbola
• Ellipse
• Circle
• Parabola

Tags

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25
• (x+5)²/4 + (y+3)²/9 = 1
• (x-5)²/2 + (y-3)²/3 = 1
• (x-5)²/4 + (y-3)²/9 = 1

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

Tags

CCSS.HSG.GPE.A.3

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

• (0, 3)
• (3, 0)
• (-2, 0)
• (2, 0)

Tags

CCSS.HSG.GPE.A.1

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

• a = 10 , b = 6
• a = 6 , b = 10
• a = 36 , b = 100
• a = 100 , b = 36

Tags

CCSS.HSG.GPE.A.1

A hyperbola has vertices at   (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b²?

• 12
• 144
• 4
• 16

Tags

CCSS.HSG.GPE.A.3

Which conic's equation has only 1 squared term?

• Parabola
• Circle
• Ellipse
• Hyperbola

Tags

CCSS.HSG.GPE.A.2

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

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

• x = 4
• x = 2
• y = -4
• y = -6

Tags

CCSS.HSG.GPE.A.2

Which is the equation of a circle with center (2, 1) that passes through (2, 4)?

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

Tags

CCSS.HSG.GPE.A.1