Precalculus Examples

$f (x) = - 4 x^{2} + 10$ Find $f (- 2)$

Step 1

Replace the variable $x$ with $- 2$ in the expression.

$f (- 2) = - 4 {(- 2)}^{2} + 10$

Step 2

Simplify $- 4 {(- 2)}^{2} + 10$ .

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Step 2.1

Remove parentheses.

$- 4 {(- 2)}^{2} + 10$

Step 2.2

Simplify each term.

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Step 2.2.1

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

$- 4 \cdot 4 + 10$

Step 2.2.2

Multiply $- 4$ by $4$ .

$- 16 + 10$

Step 2.3

Add $- 16$ and $10$ .

$- 6$