Algebra-1

To describe the transformations for the function y = 0.5∣x∣− 3:

Vertical Compression:

The coefficient 0.5 causes the graph to be vertically compressed by a factor of 2. Since 0.5 < 1, this makes the graph wider compared to y = ∣x∣. A coefficient between 0 and 1 vertically compresses the graph, making it wider.

Vertical Shift:

The −3 outside the absolute value shifts the entire graph down by 3 units.