Question

Pls help me!! The graph of g(x) shown below has the same graph of f(x)=2x but it is shifted down by 2 units write the equation for g(x)

Answer 1

Step-by-step explanation

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

For the given question, we have the parent function as

`f(x)=2^x`

Since g(x) is obtained by shifting f(x) downwards by 2 units then

`\begin{gathered} g(x)=f(x)-2 \\ g(x)=2^x-2 \end{gathered}`

The graphs are shown below

Therefore, the value of g(x) is

`g(x)=2^x-2`