Question

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

Answer 1

Answer:

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

Step-by-step 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: $g(x) = f(x) - k$

      $g(x) = -|x+3|-1$