Question

If f left parenthesis x right parenthesis equals 4 x squared minus 4​, find f left parenthesis negative 4 right parenthesis.
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Part 1
f left parenthesis negative 4 right parenthesisequals
  
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Answer 1

To find \( f(-4) \) for the function \( f(x) = 4x^2 - 4 \), we will substitute \(-4\) for \( x \) in the function.

\[
f(-4) = 4(-4)^2 - 4
\]

Now, calculate \((-4)^2\):

\[
(-4)^2 = 16
\]

Now substitute that back into the equation:

\[
f(-4) = 4 \times 16 - 4
\]

Now calculate \(4 \times 16\):

\[
4 \times 16 = 64
\]

Now substitute that into the equation:

\[
f(-4) = 64 - 4
\]

Finally, calculate \(64 - 4\):

\[
64 - 4 = 60
\]

Thus,

\[
f(-4) = 60
\]

So, the final answer is:

\[
\boxed{60}
\]