6

8

10

12

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

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

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

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

vertical

horizontal

 $\left(0,2\right)$  

 $\left(3,0\right)$  

 $\left(-2,\ -1\right)$  

 $\left(1,1\right)$  

 $2\sqrt{10}$  

 $4\sqrt{10}$  

 $4\sqrt{2}$  

 $8\sqrt{2}$  

Mirrors with this shape are the easiest and cheapest to make.

They provide a wider field of view than other shapes.

All incoming rays hitting the surface gets reflected toward its only focus.

The horizontal cross section is a hyperbola.

The vertical cross section is a parabola.

It is used in architecture.

This shape is weak and prone to cracks.