Question

Plllsss help... how does adding a positive constant, k, to the input of a rational function affect its axis of symmetry?

a) the axis of symmetry shifts to the left k units



b) the axis of symmetry shifts to the right l units



c) The axis of symmetry doesn’t change



d) The function is no longer symmetric

Answer 1

Explanation:

a) the axis of symmetry shifts to the left k units,

Example: f(x) = 1/x

If we add a positive constant to the input x, as in g(x) = 1/(x+k), the graph of the function translates k units to the left.