Reflectors, Cookers, and Other Phenomena

Watch this clip from 2:25 to the end.

Describe what you see here. Notice anything interesting?

Suppose a solar cooker has a parabolic cross section. Any object placed at the igniter will burn within seconds after the sun's rays start hitting the parabolic dish. Suppose we consider (0,0) = this parabola's vertex. Given this,
  • Find an equation for this parabola
  • Determine the depth of the dish.
You can show your work in the blank app below.

Can skyscrapers melt cars and set surrounding buildings on fire? What do you think? If so, what causes this? Check this out.