Precalculus Examples

$f (t) = - 2 t^{2} + 1$ for $f (- 3)$

Step 1

Replace the variable $t$ with $- 3$ in the expression.

$f (- 3) = - 2 {(- 3)}^{2} + 1$

Step 2

Simplify $- 2 {(- 3)}^{2} + 1$ .

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Step 2.1

Remove parentheses.

$- 2 {(- 3)}^{2} + 1$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $- 3$ to the power of $2$ .

$- 2 \cdot 9 + 1$

Step 2.2.2

Multiply $- 2$ by $9$ .

$- 18 + 1$

Step 2.3

Add $- 18$ and $1$ .

$- 17$