Given f, of, x, equals, minus, 2, x, squared, plus, 2f(x)=−2x

Question

2
+2, find f, of, minus, 6f(−6)

Answer 1

To find \( f(-6) \) from the function \( f(x) = -2x^2 + 2 \), we will follow these steps:

1. Substitute \(-6\) into the function \( f(x) \):

   \[ f(-6) = -2(-6)^2 + 2 \]

2. Calculate \((-6)^2\):

   \[ (-6)^2 = 36 \]

3. Substitute \(36\) back into the function:

   \[ f(-6) = -2 \cdot 36 + 2 \]

4. Calculate \(-2 \cdot 36\):

   \[ -2 \cdot 36 = -72 \]

5. Add \(2\):

   \[ f(-6) = -72 + 2 = -70 \]

So, \( f(-6) = -70 \).

Thus, the final answer is:

\[ f(-6) = -70 \]