Question

In what direction and by how many units is the graph of f(x) = 5 cos(4x − π) − 1 vertically and horizontally shifted?

Answer 1

It is shifted to the right by a length of pi (this comes from the -pi part) and shifted down by a length of 1 (from the -1 part)

Answer 2

graph shifted horizontally right by π unit and Vertically down by 1 unit.

Explanation:

Given : f(x) = 5 cos(4x − π) − 1 .

To find : In what direction and by how many units is the graph shifted .

Solution : We have given that f(x) = 5 cos(4x − π) − 1 .

By the transformation rule : f(x) →→→f(x-h) graph is shifted to right by h unit

f(x) →→→f(x) -k mean graph shifted vertically down .

Then , graph of f(x) = 5 cos(4x − π) − 1 shifted horizontally right by π unit and Vertically down by 1 unit,

Therefore, graph shifted horizontally right by π unit and Vertically down by 1 unit.