Circles, Ellipse, Hyperbola

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16

• (x-8)² + y² = 4

• x² + (y-8)² = 4

• x² + (y+8)² = 16

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)

What are the vertices of this Ellipse?

• (-5, 5), (1, 5)

• (-2, 8), (-2, 2)

• (-2, 12), (-2, -2)

• (-9, 5) , (5, 5)

What is the value of a and b for an ellipse with the following vertices and foci
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)

• a = 10 , b = 6

• a = 6 , b = 10

• a = 36 , b = 100

• a = 100 , b = 36

A garden is designed in the shape of an ellipse. The lengths of the major and minor axes are 100 feet and 80 feet, respectively. What is the area of the garden?

• 6,283 square feet

• 6,400 square feet

• 7,850 square feet

• 8,000 square feet

A hyperbolic cooling tower for a power plant has a cross-section that forms a hyperbola. If the distance between the foci is 100 feet and the distance between the vertices is 60 feet, what is the length of the conjugate axis?

• 40 feet

• 50 feet

• 80 feet

• 100 feet

A company logo is designed with an elliptical shape. If the length of the major axis is 10 inches and the minor axis is 6 inches, what is the distance between the foci of the ellipse?

• 4 inches

• 5 inches

• 8 inches

• 10 inches

Is the hyperbola vertical or horizontal? 

• Vertical

• Horizontal

What are the asymptotes of the hyperbola in the picture?

• y = x and y = –x

• y = 2x and y = –2x

• y = ¹/₂x and y = –¹/₂x

• y = 2x and y = 4x

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3

• center= (-7,1) radius= 7

• center= (-4,1) radius= 5