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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