Ellipse and Hyperbola Equations

What curve do the parametric equations make? What is the direction of motion? x= 1+3cost y= -2+4sint

• Circle. Counterclockwise.

• Circle. Clockwise.

• Ellipse. Counterclockwise.

• Ellipse. Clockwise.

Endpoints of Conjugate Axis ?

• (-3 , 7) ; (-3 , -3)

• (-8 , 2) ; (2 , 2)

• (3 , -7) ; (3 , 3)

• (15 , -2) ; (-9 , -2)

What is the value of a² for the given hyperbola?

• 1

• -2

• 25

• 16

Determine the length of the transverse axis

• 1.5

• 2

• 3

• 4

What is the value of a² for the given hyperbola?

• 1

• 5

• 25

• 16

What is the value of a² for the given hyperbola?

• 1

• -2

• 25

• 16

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

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

x^2-3y^2-2x-8=0

• Circle

• Parabola

• Ellipse

• Hyperbola