Precalculus Examples

$Y = - 3 {(x + 2)}^{2} + 4$

Step 1

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

$y = - 3 {(x + 2)}^{2} + 4$

Step 2

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

$a = - 3$

$h = - 2$

$k = 4$

Step 3

Find the vertex $(h, k)$ .

$(- 2, 4)$

Step 4