Question

The graph above is the graph of: y = | x + 4 | − 2 y = | x − 4 | − 2 y = | x − 2 | − 4

Answer 1

We need to identify the equation of the graph given.

This graph corresponds to a translation of the graph described as:

$y=|x|$

Comparing the graph given with the one above, we can see it was shifted 4 units to the left.

When we translate the graph of a function f(x) d units to the left, it is transformed as:

$f(x)\rightarrow f(x+d)$