Question

Translate f(x) = |x| so that it's translated down by 3 units and vertically stretched by a factor of –2. What's the new function in terms of g(x)?

A. g(x) = |x| – 3
B. g(x) = |x – 2| – 3
C. g(x) = 3|x + 2|
D. g(x) = –2|x| – 3

Answer 1

D. g(x)=-2IxI-3

The -3 is the vertical shift 2 units down
The -2 is multiplied outside of the x, so it’s a vertical stretch.