PreCalc Conics Review

Circle

Ellipse

Hyperbola

Parabola

$$c^2=a^2+b^2$$  

$$c^2=a^2-b^2$$  

$$a^2=b^2+c^2$$  

$$a^2=b^2-c^2$$  

Vertical

Horizontal

$$c^2=a^2+b^2$$  

$$c^2=a^2-b^2$$  

$$a^2=b^2+c^2$$  

$$a^2=b^2-c^2$$  

$$\left(5,\ -4\right)\ and\ \left(5,\ 2\right)$$

$$\left(-2,\ -1\right)\ and\ \left(12,\ -1\right)$$  

$$\left(-1,\ -2\right)\ and\ \left(-1,\ 12\right)$$

$$\left(-4,\ 5\right)\ and\ \left(2,\ 5\right)$$

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

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

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

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

horizontal

vertical