Question

6.

The graphs of f (x) and g(x) are shown.
Solve for the value of k for which g(x) = f( x + k)

Answer 1

k = - 3

Explanation:

Given f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then a shift left of k units

• If k < 0 then a shift right of k units

Here g(x) is the graph of f(x) shifted 3 units right , then

g(x) = f(x - 3) with k = - 3