Algebra-1

To determine the value of h in the function f(x) = −∣x + 5∣+ 2, we need to compare it to the general form:

y = a∣x − h∣+ k

The given function is: f(x) = −∣x + 5∣+ 2

To match this to y = a∣x − h∣+ k:

 

Rewrite ∣x + 5∣ as ∣x − (−5)∣ to fit the general form ∣x − h∣.

Here, a = −1 (indicating a reflection and no vertical stretch/compression).

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