Question

The graphs of functions f(x) and g(x) = f(x) + k are shown:

What is the value of k?

A.) K=2
B.) K=1
C.) K=0
D.) K=-2

Answer 1

It would be D.) K=-2

Answer 2

The value of k is:

A.) K=2

Explanation:

We know that the transformation of the type:

f(x) to f(x)+k

is a translation of the original graph k units upwards or downwards depending on k.

if k>0 then the shift is k units up and if k<0 then the shift is k units down.

Here we observe that the graph of the function g(x) is shifted 2 units upwards as compared to the graph of the function f(x).

This means that:

k=2