Answer:
The domain is the interval (-∞,∞)
The range is the interval [-4,∞)
Step-by-step explanation:
we have
[tex]y=(x+4)^2-4[/tex]
This is the equation of a vertical parabola in vertex form
The vertex is the point (-4,-4)
The parabola open upward (because the leading coefficient is positive)
The vertex represent a minimum
The domain is the interval (-∞,∞)
so
The domain is all real numbers
The range is the interval [-4,∞)
[tex]y\geq -4[/tex]
so
The range is all real numbers greater than or equal to -4
