Precalculus Examples

$h (r) = - {(r + 9)}^{2} + 36$

Step 1

Rewrite the equation in terms of $x$ and $y$ .

$y = - {(x + 9)}^{2} + 36$

Step 2

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

$a = - 1$

$h = - 9$

$k = 36$

Step 3

Find the vertex $(h, k)$ .

$(- 9, 36)$

Step 4