Question

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) ?

Answer 1

Answer:

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).