question\ngiven ( f(x)=-x^{2}-4x - 12 ), find ( f(-7) )

Explanation:

Step1: Substitute (x = - 7) into the function

Substitute (x=-7) into (f(x)=-x^{2}-4x - 12), we get (f(-7)=-(-7)^{2}-4\times(-7)-12)

Step2: Calculate ((-7)^{2})

According to the exponent rule, ((-7)^{2}=(-7)\times(-7) = 49). So (f(-7)=-49-4\times(-7)-12)

Step3: Calculate (-4\times(-7))

Using the rule of multiplication of two negative numbers, (-4\times(-7)=28). Then (f(-7)=-49 + 28-12)

Step4: Calculate the result

First, (-49+28=-21), then (-21-12=-33)

Answer:

(-33)