Pre-Calc Ellipse

See Picture

• A
• B
• C
• D

See Picture

• A
• B
• C
• D

What is the center of the given equation?

• (h, k) = (4, 3)
• (h, k) = (-4, -3)
• (h, k) = (-4, 3)
• (h, k) = (4, -3)

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -2, -4), (-2, 8)
Length of minor axis is 10
What is the center of the ellipse?

• ( - 2, 2)
• (- 2, 4)
• (2, -2)
• (-2, 1)

What are the vertices of the ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)

What is the center, a and b values for the following equation:
x² + 4y² + 16x - 80y + 320 = 0

• (-8, 10); a = 12, b = 6
• (-8, 10); a = 6, b = 12
• (8, -10); a = 12, b = 6
• (8, -10); a = 6, b = 12

What is the equation for the focus points on an ELLIPSE?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²

Identify the ellipse as horizontal or vertical. Determine the value of a and b.

• Horizontal; a=3, b=2
• Vertical; a=3, b=2
• Horizontal; a=2, b=3
• Vertical; a=2, b=3

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

What are the coordinates of the vertices of the shifted ellipse?

• (1, 5) and (1, -5)
• (0, 5) and (0, -5)
• (1, 1) and (1, -1)
• (0, 1) and (0, -1)