Help. ​

In the form

y = a ( x + h)  + ( - k )   the vertex is  ( -h , -k)

So...we have

y = 3(x + 2)^2  + ( - 3 )

So....the vertex  is ( -2, -3)

Only one answer fits.....the second one

y = 2(x - 3)^2 +   (-  4 )

Because the "2" out front is positive, this parabola turns upward.......the vertex  is  (3, -4)

So....this is the minimum point on the parabola.....and y =  -4  is the minimum

The domain is all real numbers  [  we can put any x value into the function ]

And the range is  [ -4, infinity]   ⇒ all real numbers ≥ 4

The first answer is correct

This graph will help you see this :

https://www.desmos.com/calculator/cmyimyjq0h