Question

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Answer 1

Vertex form is y=a(x−h)2+k.
to get that form.
you need to complete the perfect square trinomial of (x^2+4x+7) ( there is a missing value that you have)

in this case it is (x+2)^2 + 7 - 4

y = (x+2)^2 + 3
is your vertex form.

Answer 2

ooh, i wasnt sure about the complete square, thanks!