99.9k views
3 votes
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

User Maryjane
by
8.0k points

1 Answer

1 vote

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

User Batakj
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories