Question

The function f(x) = 2^x and g(x) = f(x) + k. If k = 2, what can be determined about the graph of g(x)

Answer 1

It should look like this

Answer 2

We can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.

Explanation:

`f(x) = 2^x`

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

Rule : f(x)→f(x)+k

graph f(x) shifts upward by k units

Since we are given that
`g(x) = f(x) + k`

So, this means when graph f(x) shifts upward by k units then g(x) is obtained

We are given that k = 2

So, when graph f(x) shifts upward by 2 units then g(x) is obtained .

Thus we can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.