Question

Give the domain and range of the relation. y=(x+4)^2-4

Answer 1

Answer:

The domain is the interval  (-∞,∞)

The range is the interval [-4,∞)

Step-by-step explanation:

we have

$y=(x+4)^2-4$

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,∞)

$y\geq -4$

so

The range is all real numbers greater than or equal to -4