The graph of f (x) = cos (x) is transformed into a new function, g (x), by stretching it vertically by a factor of 3 and shifting it 2 units to the left.

What is the equation of the new function g (x) ?

g (x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f (x) = a cos b (x - c) + d where:

a stretches the function vertically b compresses or stretches it horizontally c shifts the function left or right d shifts the function up or down

Here a = 3 and c = 2.

So the new function is g (x) = 3 cos (x+2).