Understanding Ellipses

What is the center of the ellipse given by the equation x^2/16 + y^2/4 = 1?

• (0, 0)

• (4, 0)

• (0, 4)

• (4, 4)

Which axis is the major axis for the ellipse x^2/16 + y^2/4 = 1?

• Horizontal

• Diagonal

• None

• Vertical

How far do you move from the center to plot the vertices along the major axis for the ellipse x^2/16 + y^2/4 = 1?

• 5 units

• 4 units

• 3 units

• 2 units

What is the length of the minor axis for the ellipse x^2/16 + y^2/4 = 1?

• 8 units

• 2 units

• 4 units

• 6 units

How do you calculate the foci of an ellipse?

• c^2 = a^2 + b^2

• c^2 = a^2 - b^2

• c^2 = a^2 * b^2

• c^2 = b^2 - a^2

For the ellipse x^2/16 + y^2/4 = 1, what is the value of c?

• √4

• √8

• √12

• √16

What is the center of the ellipse given by the equation (x-1)^2/4 + (y+2)^2/9 = 1?

• (-1, -2)

• (-1, 2)

• (1, -2)

• (1, 2)

For the ellipse (x-1)^2/4 + (y+2)^2/9 = 1, which axis is the major axis?

• Diagonal

• Vertical

• None

• Horizontal

What is the first step in completing the square for the equation 9x^2 - 18x + 16y^2 + 64y = -71?

• Subtract 71 from both sides

• Add 71 to both sides

• Factor out coefficients

• Divide by 9

After completing the square, what is the standard form of the ellipse 9x^2 - 18x + 16y^2 + 64y = -71?

• (x+1)^2/9 + (y-2)^2/16 = 1

• (x-1)^2/9 + (y+2)^2/16 = 1

• (x+1)^2/16 + (y-2)^2/9 = 1

• (x-1)^2/16 + (y+2)^2/9 = 1