Consider the equation y minus 4 is equal to 2 times open paren x plus 3 close paren squared Where is the vertex located, and in which direction does the parabola open?

Rewrite the equation as y = 2(x + 3)² + 4. This matches vertex form y = a(x − h)² + k, so the vertex is (h, k) = (−3, 4). Since a = 2 is positive, the parabola opens up. Therefore, the correct choice is the vertex at (−3, 4) with the parabola opening up.

AI-written and checked against the verified answer.