Question

The graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis. Which equation describes g(x)?

1. g(x)=|x+4|
2. g(x)=|x|−4
3. g(x)=|x−4|
4. g(x)=−4|x|

Answer 1

The answer would be 4, g(x) = -4|x|

Explanation:

1 is incorrect because that is a horizontal shift of 4 units towards the left

2 is incorrect because that is a vertical shift of 4 units downwards

3 is incorrect because that is a horizontal shift of 4 units towards the right

4 is correct because that is a reflection on the x-axis