Question

Which could be the graph of f(x)=|x-h|+k if h and k are both positive

Answer 1

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

Answer 2

The first option would be your answer. The graph should be positive due to the modulus.
The first option is good.

Hope it helped!