Into how many regions do these parabolas divide the plane?

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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?