Question

The graph of y = 4sin(x + 3) - 2 is obtained by shifting the graph of y = 4sin x - 2 horizontally 3 units to the right.

True of false

Answer 1

Explanation:

False, it is 3 units to the left

For any function,

`f(x)`

the function transformation of

`f(x - h)`

implies a transformation h units to the left

If h is the positive, this implies a transformation to the right

If h is negative, this implies a transformation to the left.

Here's since

`(x + 3`

can be written as

`(x - ( - 3))`

Our h is negative, therefore we move 3 units to the left