Algebra-1

To determine the transformation for the function y = −∣x − 6∣+ 3, let’s break it down step by step:

Horizontal Shift:

The term inside the absolute value is x − 6. This indicates a horizontal shift to the right by 6 units. Specifically, the function ∣x − h∣ is shifted right by h units, so here h = 6.

Vertical Shift:

The term outside the absolute value function is +3. This indicates a vertical shift upward by 3 units. In general, adding a constant outside the absolute value function moves the graph up by that amount.

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