All real numbers greater than or equal to -1
Explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
(h,k) is the vertex of the parabola
if ----> the parabola open upward ( vertex is a minimum)
if ----> the parabola open downward ( vertex is a maximum)
In this problem we have
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
-------> equation in vertex form
The vertex is the point
therefore
----> the parabola open upward ( vertex is a minimum)
The range of the function is the interval-------> [-1,∞)
All real numbers greater than or equal to
-1