Hyperbola Review

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

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

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

$$\frac{x^2}{2}+y^2=1$$

$$\frac{\left(y-1\right)^2}{4}-\frac{\left(x-1\right)^2}{12}=1$$

$$\frac{y^2}{9}-\frac{x^2}{16}=1$$

$$\frac{x^2}{16}-\frac{y^2}{9}=1$$

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

vertical

horizontal

$$\left(0,2\right)$$  

$$\left(3,0\right)$$  

$$\left(-2,\ -1\right)$$  

$$\left(1,1\right)$$  

$$2\sqrt{10}$$  

$$4\sqrt{10}$$  

$$4\sqrt{2}$$  

$$8\sqrt{2}$$  

5.83

4.45

3.34

6.5

7.25

(-2,4)

(4,2)

(3,3)

(5,3)

(7.5,3)