PreCal 8.3 Hyperbolas Quiz Review

What is the length of the transverse axis in the graph of the hyperbola shown?

(a)  

What is the length of the conjugate axis in the graph of the hyperbola shown?

(a)  

What is the length of the conjugate and transverse axes of the hyperbola:

$$\frac{x^2}{25}-\frac{y^2}{144}=1$$  

Given the equation of the hyperbola (find its center, transverse and conjugate axis lengths to) match it to its correct graph.

$$\frac{y^2}{9}-\frac{x^2}{25}=1$$  

What is the equation, in standard form, of the graph of the hyperbola shown?

Find the vertices and foci of the hyperbola with the given equation:

$$3x^2-5y^2=30$$  

Find the center of the hyperbola defined by the equation:

$$\frac{\left(y+5\right)^2}{36}-\frac{\left(x-3\right)^2}{49}=1$$  

(a)  

Find the vertices of the hyperbola defined by the equation:

$$\frac{\left(x-4\right)^2}{4}-\frac{\left(y+6\right)^2}{49}=1$$  

Find the co-vertices of the hyperbola defined by the equation:

$$\frac{\left(y-4\right)^2}{4}-\frac{\left(x+6\right)^2}{49}=1$$  

Find the foci of the hyperbola defined by the equation:

$$\frac{\left(y+2\right)^2}{9}-\frac{\left(x-1\right)^2}{64}=1$$