Precalculus Examples

$f (x) = - {(x + 4)}^{2} + 9$

Step 1

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

$a = - 1$

$h = - 4$

$k = 9$

Step 2

Find the vertex $(h, k)$ .

$(- 4, 9)$

Step 3