Suggestion

Into how many regions is the plane divided when the following three parabolas are drawn?

\[y = x^2\] \[y = x^2 - 2x\] \[y = x^2 + 2x +2.\]

  1. \(4\),

  2. \(5\),

  3. \(6\),

  4. \(7\).

What do the parabolas look like? Do they intersect each other?