Question

the graphs of f and g are shown. describe two different transformations from the graph of f to the graph of g.

Explanation:

Step1: Identify vertical shift

The graph of \(g\) is 2 units higher than \(f\). So, there is a vertical - shift of 2 units up.

Step2: Identify slope change

The slope of \(f\) is 1 and the slope of \(g\) is 2. So, there is a vertical stretch by a factor of 2.

Answer:

1. A vertical shift of 2 units up.
2. A vertical stretch by a factor of 2.