Urgent urgent in what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted?

The required result is 5 unit vertically shifted downward and unit horizontally shifted left.

Step-by-step explanation:

Given : Graph

To find : In what direction and by how many units is the graph vertically and horizontally shifted?

Solution :

Vertically shift is up or down,

Vertically shifting down is shifting outside the function,

i.e, f(x)→f(x)-b

In the given graph, The graph is 5 unit vertically shifted downward as

i.e, 5 unit shifted downward.

Horizontal shift is either left or right,

Horizontally shift left is shifting inside the function,

i.e,  f(x)→f(x+b)

We can write the given function as

In the given graph, The graph is unit horizontally shifted left as

i.e, unit shifted left.

Therefore, The required result is 5 unit vertically shifted downward and unit horizontally shifted left.