Questions: Evaluate the expression for the given value of the variable(s). -x^2-4x-4: x=-3

Transcript text: Evaluate the expression for the given value of the variable(s). $-x^{2}-4 x-4: x=-3$

Solution

Step 1: Substitute the value of $ x $ into the expression

Substitute $ x = -3 $ into the expression $ -x^{2} - 4x - 4 $: \[ -(-3)^{2} - 4(-3) - 4 \]

Step 2: Calculate the exponent

Calculate $ (-3)^{2} $: \[ -(-3)^{2} = -9 \]

Step 3: Multiply and simplify

Multiply $ -4 $ by $ -3 $: \[ -4(-3) = 12 \]

Step 4: Combine the terms

Combine all the terms: \[ -9 + 12 - 4 = -1 \]

The final result is $ -1 $.

$\boxed{-1}$

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