Final answer:
To find the value of the expression −x2 − 4x − 4 for x = −3, substitute −3 into the expression and simplify to get −5.
Step-by-step explanation:
To evaluate the expression −x2 − 4x − 4 for x = −3, we substitute −3 for x in the expression and simplify.
First, substitute x with −3: −(−3)2 − 4(−3) − 4.
Simplify the square of −3: −(9) − 4(−3) − 4.
Multiply 4 by −3: −(9) + 12 − 4.
Finally, add and subtract the numbers: −9 + 12 − 4 = −1 − 4 = −5.
So, evaluating the expression for x = −3 gives us −5.