D
1. What is the horizontal and vertical shift for the absolute value function below?
f(x)=3x+91 +6
The graph shifts left 9 and up 6.
The graph shifts right 9 and up 6.
The graph shifts right 9 and down 6.
The graph shifts left 9 and down 6.
The correct horizontal and vertical shifts for the absolute value function \( f(x) = 3|x+9| + 6 \) are as follows:
- The graph shifts left 9 and up 6.
Explanation:
1. The "+9" inside the absolute value function represents a horizontal shift of 9 units to the left. This means that the graph of the function moves to the left by 9 units.
2. The "+6" outside the absolute value function represents a vertical shift of 6 units up. This means that the graph of the function moves upwards by 6 units.
Therefore, the correct statement is that the graph shifts left 9 units and up 6 units.
