Precalculus Examples

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

Step 1

Use the vertex form, $y = a {(x - h)}^{2} + k$ , to determine the values of $a$ , $h$ , and $k$ .

$a = - \frac{1}{2}$

$h = - 2$

$k = - 3$

Step 2

Find the vertex $(h, k)$ .

$(- 2, - 3)$

Step 3