Question

F(x) = |x| transforms into function g by a horizontal reflection, shifts left 3 times and 1 time down. What is

g(x)?

Answer 1

`g(x) = -|x+3|-1`

Explanation:

1. horizontal reflection - reflection on x-axis:
`g(x) = - f(x)`

`g(x) = -|x|`

2. shift left 3:
`g(x) = f(x+h)`

`g(x) = -|x+3|`

3. shift down 1:
`g(x) = f(x) - k`

`g(x) = -|x+3|-1`