Precalculus Examples

$Y = {(x + 1)}^{2} - 2$

Step 1

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

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

Step 2

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

$a = 1$

$h = - 1$

$k = - 2$

Step 3

Find the vertex $(h, k)$ .

$(- 1, - 2)$

Step 4