# Over what interval is the graph of f(x) = -(x + 8)^{)2} - 1 decreasing?

**Solution:**

It is given that

f(x) = -(x + 8)^{)2} - 1

We know that graph of f(x) is decreasing if f’(x) < 0

-(x + 8)^{)2} - 1 < 0

-2(x + 8) < 0

x + 8 > 0

x > -8

Therefore, the graph is decreasing over [-8, ∞).

## Over what interval is the graph of f(x) = -(x + 8^{)2} - 1 decreasing?

**Summary:**

Over [-8, ∞), the graph of f(x) = -(x + 8)^{)2} - 1 is decreasing.

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