Question

Is this an absolute value graph?

Is it a reflection of its parent graph?
This graph shifted _ by _ units.

Answer 1

This graph shifted UP by 3 units

Explanation:

The parent function of the absolute value is:

f(x) = | x |

If f(x) is reflected across the y-axis, it would map to itself. If it was reflected across the x-axis, it would map to a negative-valued function for all x.

The graph shown is not a reflection, but it's a translation. Note the parent function passes through the origin, thus the graph is a translation of 3 units up.

This graph shifted UP by 3 units