Question

The function f(x) and g(x) are graphed below.

If g(x)= f(x+k),what is the value of k?

Answer 1

k = 6

Explanation:

I just got that question on an Algebra Nation quiz and it said k = 6 is correct.

Answer 2

The value of k is:

k=6

Explanation:

We are given a graph of the function f(x) and g(x) such that both the graphs are parabola and the graph of g(x) is a shift of graph of f(x) some units to the left.

The vertex of the graph of f(x) is at x=4

whereas the vertex of the graph of the function g(x) is at x= -2.

This means that the graph of g(x) is a shift of the graph of f(x) 6 units to the left.

This means that:

g(x)=f(x+6)

( Since the translation of a function f(x) k units either to the left or to the right is denoted by:

f(x+k)

when k>0 the shift is to the left and if k<0 the shift is to the right.)

This means that the value of k is 6