Question

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

graph of line f of x going through ordered pairs 0, negative 2 and 2, 2. Graph of line g of x going through ordered pairs 0, 2 and 1, 4.

What is the value of k?

Answer 1

Your answer would be D

Explanation:

k=4

Answer 2

Answer: 4

Explanation:

Given that
`g(x)=f(x)+k`

It is given that
`f(x)` passes through
`(0,-2)`.

So,
`f(0)=-2`

It is given that
`g(x)` passes through
`(0,2)`

So,
`g(0)=2`

Since
`g(x)=f(x)+k`

`g(0)=f(0)+k`

`k=g(0)-f(0)`

`k=2-(-2)=4`

So,
`k=4`