y = −∣x + 3∣makes the graph slide ________.

To understand how the graph of the function y = −∣x + 3∣ is transformed, we need to analyze the effects of the transformations:

Inside the Absolute Value Function: The term x + 3 inside the absolute value function affects the horizontal shift of the graph.

For the expression x + 3, the graph shifts horizontally in the direction opposite to the sign of the number. In this case, +3 means the graph shifts to the left by 3 units.