Question

Use the graph of y=3^x to sketch the graph of f(x)=3^(x+3) using techniques of transformation.

Answer 1

The parent function is given below:

`y=3^x`

The graph of the parent function is drawn and attached:

The transformation f(x) is a Horizontal Translation left by 3 units:

`f(x)=3^(x+3)`

Thus, the point (0,1) on the graph of y becomes (-3,1) and (1,3) becomes (-2,3) as shown below: