Precalculus Examples

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

Step 1

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

$a = 1$

$h = 2$

$k = 3$

Step 2

Find the vertex $(h, k)$ .

$(2, 3)$

Step 3