Evaluate Using the Given Value f(6)=-16(6)^2+32(6)+384

$f (6) = - 16 {(6)}^{2} + 32 (6) + 384$

Step 1

Simplify each term.

Raise $6$ to the power of $2$ .

$f (6) = - 16 \cdot 36 + 32 (6) + 384$

Multiply $- 16$ by $36$ .

$f (6) = - 576 + 32 (6) + 384$

Multiply $32$ by $6$ .

$f (6) = - 576 + 192 + 384$

Step 2

Simplify by adding numbers.

Add $- 576$ and $192$ .

$f (6) = - 384 + 384$

Add $- 384$ and $384$ .

$f (6) = 0$