5.2.5 Hyperbola's Review

Which of these is a vertically oriented hyperbola?

What is the center of the given hyperbola?

$$\frac{y^2}{16}-\frac{x^2}{49}=1$$

Is this hyperbola horizontal or vertical?

$$\frac{y^2}{16}-\frac{x^2}{49}=1$$

What are a and b equal to?

$$\frac{y^2}{16}-\frac{x^2}{49}=1$$

Which image represents the graph of the hyperbola?

$$\frac{y^2}{16}-\frac{x^2}{49}=1$$

True or false? The hyperbola represented by the following equation has y-intercepts.

$$\frac{x^2}{4}-\frac{y^2}{9}=1$$

What is the equation of the graphed hyperbola?

What are the x-values of the vertices?

$$\frac{x^2}{16}-\frac{y^2}{81}=1$$

What is the center of the following hyperbola?

$$\frac{\left(x-6\right)^2}{9}-\frac{\left(y+4\right)^2}{16}=1$$

(a)  

Given the previous equation for the hyperbola, what are the x-values of the vertices?

$$\frac{\left(x-6\right)^2}{9}-\frac{\left(y+4\right)^2}{16}=1$$

Hint: The center is $$\left(6,\ -4\right)$$ .