Question

The graphs of functions f(x) and g(x) = fx) + k are shown below: GDC) 6 2 * -1 2 -3 + The value of k is (1 point) Blank 1:

Answer 1

We have the functions f(x) and g(x) = f(x) + k, where k is a constant.

To calculate k, we can do:

`\begin{gathered} g(x)=f(x)+k \\ k=g(x)-f(x) \end{gathered}`

As k is a constan, we pick a known value of g(x) and f(x) for a value of x, and calculate k.

For example, we can write:

`k=g(0)-f(0)=2-(-2)=2+2=4`

The value of k is k=4.

Note: If we test with x=1, we have k=g(1)-f(1)=4-0=4.