Algebra-1

To determine the transformation for y = −∣x + 3∣ + 6, we need to analyze each part of the function:

Horizontal Shift:

The term inside the absolute value is x + 3.

This can be written as x − (−3), indicating a shift to the left by 3 units.

Vertical Shift:

The term outside the absolute value is +6.

This shifts the graph up by 6 units.