The general form of an absolute value function is . If the graph of this function opens downward, what is the sign of the coefficient ? Write your answer in the blank: The sign of is __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the coefficient in the general form of an absolute value function. The sign of determines whether the graph opens upward or downward.
Key Concept Explanation
In the function , the coefficient controls the vertical stretch, compression, and reflection. If , the graph opens downward.
Step-by-step Solution
1. Identify the general form of the absolute value function:
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