F(0) = 2 and f(2) = 4

Since we get '2' as an output when we input '0'

So, the function must be increasing the value of x by 2

We see that happen in the second case as well, as our input is incremented by 2

Hence, we can say that

f(x) = x + 2

Kindly Mark , Thanks

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction