Let f(x) = (1)/(2)|x+7|. Write a function g whose graph is a translation 4 units to the left of the graph of f.

Question

Let
`f(x) = (1)/(2)`|x+7|.

Write a function g whose graph is a translation 4 units to the left of the graph of f.

Answer 1

`g(x)=(1)/(2)|x+11|`

Explanation:

To translate f(x) 4 units to the left, replace x by x+4.

g(x) = f(x+4) = (1/2)|(x+4) +7|

g(x) = (1/2)|x +11|