#1**+1 **

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

CPhill
Oct 31, 2017