Question

Find the range of this function. what you see is a parabola

y>6
y>=-6
all real numbers
x= 6 or -6

Answer 1

`y\geq -6`

Explanation:

we know that

The graph of the figure represent a vertical parabola open upward

The vertex represent a minimum

The vertex of the quadratic equation is the point (h,k)

The range of the quadratic equation is the interval for y [k,∞)

`y\geq k`

Looking at the graph

The vertex is the point (0,-6)

therefore

The range is the interval [-6,∞)

`y\geq -6`