Ellipse and Hyperbola

• (4, -2)

• (2, -4)

• (-2, 4)

• (-4, 2)

What is the center of the hyperbola?

• (0, 4)

• (4, 0)

• (-4, 0)

• (0, -4)

Standard Form of a Hyperbola

• (x-h)² + (y-k)² = r²

• (x-h)²/a² + (y-k)²/b² = 1

• (x-h)²/a² - (y-k)²/b² = 1

• x = a(y-h)² + k

• Vertical Ellipse
• Vertical Hyperbola
• Horizontal Ellipse
• Horizontal Hyperbola

In an ellipse or a hyperbola, the distance from the center to either vertex gives you the value of what?

​ (a)  

• a
• b
• c

The major axis is:

• The shorter axis of an ellipse

• The longer axis of an ellipse

• The main axis of a Hyperbola

• The "off" axis of a Hyperbola

Write a hyperbola from the following information

Transverse axis endpoints:

(5, 3) & (-7, 3)    

Conjugate length =10                                                          

Mathematical Equivalence

ON

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

• (-3, 5)

• (1, 5)

• (-1, 5)

• (0, 5)