Understanding Hyperbolas

What is the center of a hyperbola with h = 2 and k = -3?

• (0, 0)

• (2, -3)

• (3, 2)

• (-2, 3)

If a hyperbola has a vertical transverse axis, how do the branches open?

• Horizontally

• Diagonally

• Up and down

• Left and right

How do you determine the vertices of a hyperbola with a vertical transverse axis?

• Add and subtract 'b' from the x-coordinate of the center

• Add and subtract 'b' from the y-coordinate of the center

• Add and subtract 'a' from the y-coordinate of the center

• Add and subtract 'a' from the x-coordinate of the center

What is the value of 'c' if c^2 = 36 + 16?

• 6

• 8

• √52

• 10

What is the first step in writing a hyperbola equation in standard form?

• Complete the square on both x and y terms

• Factor out the coefficients

• Move the constant to the other side

• Divide by the constant

When factoring a negative coefficient, what should you be cautious about?

• The sign of the terms

• The center of the hyperbola

• The value of 'b'

• The value of 'a'

After factoring, what should the equation be divided by to achieve standard form?

• The constant on the right side

• The coefficient of x

• The coefficient of y

• The sum of coefficients

What is the center of a hyperbola with the equation (y-1)^2/4 - (x-3)^2/9 = 1?

• (1, 3)

• (3, 1)

• (0, 0)

• (4, 9)

How do you determine the foci of a hyperbola?

• Add and subtract 'b' from the y-coordinate of the center

• Add and subtract 'c' from the x-coordinate of the center

• Add and subtract 'c' from the y-coordinate of the center

• Add and subtract 'a' from the x-coordinate of the center

What is the value of 'c' if c^2 = 4 + 9?

• 2

• √13

• 3

• 5