Conics

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units
• Center (4,3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

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

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

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

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1