Question

Which is a translation of f(x)=|x|. Write the function rule for g(x)

Answer 1

Answer:

g(x) = | x + 7 |

Step-by-step explanation:

The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.

This is a left shift, so adjust the x by inserting a +7

f(x) = |x|

g(x) = | x + 7 |