Quiz on Hyperbolas

What is the shape of a hyperbola?

• Circle

• Parabola

• Ellipse

• Double parabola

What is the major difference between an ellipse and a hyperbola?

• Constant difference of distances to foci

• Constant sum of distances to foci

• Number of vertices

• Number of foci

Where are the foci located in a hyperbola?

• At the center

• Inside the branches

• On the outsides of the branches

• On the transverse axis

What does the value of A represent in a hyperbola equation?

• Distance from the center to a vertex

• Distance between the vertices

• Distance between the foci

• Distance from the center to a focus

How can you determine if a hyperbola opens around the X axis?

• If X term comes first

• If Y term comes first

• If A term is negative

• If B term is zero

What are the equations of the asymptotes for a hyperbola that opens around the X axis?

• Y = B times X, Y = negative B times X

• Y = A times X, Y = negative A times X

• Y = B over A times X, Y = negative B over A times X

• Y = A over B times X, Y = negative A over B times X

What should be done if a hyperbola equation is not in standard form?

• Multiply by a constant

• Add a constant

• Subtract a constant

• Divide by a constant

What happens to the center of a hyperbola when it is transformed?

• It remains the same

• It moves to the origin

• It moves to a new location

• It disappears

What is the equation for a hyperbola with vertices at plus and minus two and foci at plus and minus five?

• (X - 2)^2 - 21(Y - 5)^2 = 1

• (X - 2)^2 - 21(Y - 5)^2 = 1

• (X - 2)^2 - 21(Y - 5)^2 = 1

• (X - 2)^2 - 21(Y - 5)^2 = 1

What can help in drawing the branches of a hyperbola more accurately?

• Drawing the foci first

• Drawing the vertices first

• Drawing the asymptotes

• Drawing the transverse axis