Precalculus Examples

$y = - {(x - 1)}^{2} - 5$

Step 1

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

$a = - 1$

$h = 1$

$k = - 5$

Step 2

Find the vertex $(h, k)$ .

$(1, - 5)$

Step 3