Algebra-1

To describe the transformations for the function y = −5∣x∣ + 2:

Vertical Reflection and Stretch:

The coefficient −5 affects the graph in two ways:

Reflection: The negative sign indicates that the graph is reflected over the x-axis.

Vertical Stretch: The factor 5 causes the graph to be vertically stretched by a factor of 5. Since 5 > 1, this makes the graph narrower compared to y = ∣x∣. A coefficient greater than 1 vertically stretches the graph, making it narrower.