Which of the quadratic functions listed is written in vertex form?

Answer:
A is the best answer.
Step-by-step explanation:
A is. It can be written as y [ or v] = -2(x + 3)^2 + 7 which is the pure form of a vertex equation.
C doesn't work since that is a linear function. Nothing is squared.
D doesn't work. That is just the way an ordinary quadratic is written. (Standard form).
B doesn't work. The quadratic is written in factored form.
ANSWER
[tex]y - 7= - 2 {(x + 3)}^{2} [/tex]
EXPLANATION
The vertex form of a quadratic function is given by:
[tex]y = a {(x - h)}^{2} + k[/tex]
From the given options, the first choice is
[tex]y - 7= - 2 {(x + 3)}^{2} [/tex]
[tex]y=- 2 {(x + 3)}^{2} + 7[/tex]
where a=-2, h=-3, and k=7.
Therefore the vertex is (-3,7)
Hence the first choice is the correct option.