Question

a function is shown.
f (x) = -3x^2 + 5
what is the value of f (-2)?

Answer 1

To find the value of the function \( f(x) = -3x^2 + 5 \) at \( x = -2 \), we substitute \(-2\) into the function:

\[
f(-2) = -3(-2)^2 + 5
\]

Calculating \((-2)^2\):

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

Now substitute that back into the equation:

\[
f(-2) = -3(4) + 5
\]

Calculating \(-3(4)\):

\[
-3(4) = -12
\]

So we have:

\[
f(-2) = -12 + 5
\]

Finally, calculating \(-12 + 5\):

\[
f(-2) = -7
\]

Thus, the value of \( f(-2) \) is \(-7\).