Plllsss 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

Step-by-step 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.

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step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get