Write the equation of a hyperbola with fractions

The video tutorial covers the calculation of the center and foci of a hyperbola, explaining the vertical transverse axis and deriving the values of A, B, and C. It also demonstrates forming the hyperbola equation and simplifying it by multiplying by the reciprocal to avoid dividing by fractions.

What is the center of the ellipse if the foci are at (0, -1) and (0, 4)?

• (0, 2)

• (0, 1.5)

• (0, 3)

• (0, 0)

If the transverse axis length is 2, what is the value of A?

• 2

• 1.5

• 1

• 0.5

Given a^2 + b^2 = c^2, if a = 1 and c = 5/2, what is b^2?

• 9/4

• 25/4

• 16/4

• 21/4

How can you simplify the equation of an ellipse to avoid dividing by a fraction?

• Divide by the numerator

• Add the fractions

• Subtract the fractions

• Multiply by the reciprocal

Why is it important to write the ellipse equation in a standard form?

• To make it harder to interpret

• To confuse the reader

• To make it look more complex

• To make it easier to solve