Item 4 Let f(x)=12|x+7|. Write a function g whose graph is a translation 4 units to the left of the graph of f.

Answer 1

Hi Trevor,

For ANY function f(x), g(x) = f(x+4) is the translation 4 units to the left.

For f(x) = 12|x+7|, g(x) = 12|(x+4)+7|.

Simplified, g(x) = 12|x+11|

Answer 2

G(x) = 12 | x + 3 |

this should slide the graph 4 units to the left.

Answer 3

g(x) = 12|x + 7 + 3|

g(x) = 12|x + 12|