Question

What is the relative minimum of the function ?

Answer 1

it would be the vertex which looks like it's (-3,-2)

Answer 2

Minimum of the function is -2.

Explanation:

For any parabola which is in the form of y= +a(x-h)²+k

If the equation starts with positive notation then parabola will be like figure shown in the question and this parabola will have minimum value of the function.

And if the function starts with negative notation y=-a(x-h)²+k then parabola will have maximum.

Now the minimum value of the function is the y coordinate of its vertex means if vertex is (h, k) then k will be the minimum of the function.

Now from the figure of parabola vertex is (-3, -2).

So minimum of the parabola is "y coordinate of vertex" that is -2.