Question

If $f(x) = -2x^2$, then the correct statement is:

• A. $f\left(\frac{1}{2}\right) = -\frac{1}{2}$
• B. $f\left(\frac{1}{2}\right) = \frac{1}{2}$
• C. $f\left(\frac{1}{2}\right) = -\frac{1}{2}$
• D. $f\left(\frac{1}{2}\right) = \frac{1}{2}$

Hint:

When evaluating quadratic functions, always remember to square the term and multiply by the coefficient outside.

Answer 1

The Correct Option is C

Given the function $f(x) = -2x^2$, substituting $x = \frac{1}{2}$: \[ f\left(\frac{1}{2}\right) = -2\left(\frac{1}{2}\right)^2 = -2 \times \frac{1}{4} = -\frac{1}{2} \] Thus, the correct statement is (C).