Y=x^2+2x+1 domain and range

This is the equation of a parabola. x can be any real number. domain (-∞,∞) or any real number.

The range is what y-values you can have. y values will start at the vertex and go up to infinity since it's an upward facing parabola (+a).

Vertex (-b/2a, y)

-b/2a = - 2/2 = 1

plug this in to find y

(-1) ^2 + 2 (-1) + 1 = 0

Vertex (-1, 0)

y goes from 0 to + ∞

this is the range