Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
a.-4
b.-5
c.4
d.5

d

step-by-step explanation:

given a function f(x) then f(x + k) represents a horizontal translation of f(x)

• if k > 0 then shift to the left of k units

• if k < 0 then shift to the right of k units

here g(x) = f(x + k)

f(x) crosses the x- axis at (- 4, 0) and g(x) at (- 9, 0)

that is g(x) is a translation of f(x) of 5 units to the left, hence

k = 5