Can anyone pls me with this algebra question click to see a picture of the problem

The value of k is 6.

The vertex of f(x) is at (4, 1).  The vertex of g(x) is at (-2, 1).  It has been shifted left 6 units.  This means that the value of k must be -6 (when translating a function horizontally, the number we add/subtract is the opposite of what we would normally think; we think of left as negative, but to shift it left, we actually add).

What are the following algebraic equations. you need to post those if you want the answer

Answer is a not really sure tho