Which value can fill in the blank in the function f of x is equal to underline absolute value of x to make its graph wider than that of the parent function, f of x is equal to absolute value of x ?

For a function of the form f(x) = a|x|, the graph is wider than y = |x| when the coefficient’s absolute value is between 0 and 1. The value 1/4 meets this condition, so f(x) = (1/4)|x| is wider than the parent function. A coefficient of −1 only reflects the graph and does not make it wider.

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