Question

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

Answer 1

Answer:

$g(x)=\frac{1}{2}|x+11|$

Step-by-step 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|