Option A is where the vertex is located and the parabola opens.
What is a parabola?
'In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.'
According to the given problem,
[tex]y - 4 = 2(x + 3)^{2}[/tex]
⇒ [tex](x+3)^{2} = \frac{y - 4}{2}[/tex]
Therefore, vertex : (-3 , 4)
Hence, we can conclude that the Parabola opens up.
Learn more about parabola here: https://brainly.com/question/10572747
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