Verified Answer :

nobillionaireNobley

k is the number of units up or down the vertex of the graph was shifted.

Assuming that this is the graph 

we can see that y = x^2 touch origin,
 
now it's shifted into (4, -2)

So the new equation woud be :

f(x) - 4 = (x + 2) ^2

f(x) = (x+2)^2 + 4     ,  .. . . .> which make k = 4

hope this helps

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