Precalculus Examples

$y - 1 = {(x - 3)}^{2}$

Step 1

Add $1$ to both sides of the equation.

$y = {(x - 3)}^{2} + 1$

Step 2

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

$a = 1$

$h = 3$

$k = 1$

Step 3

Find the vertex $(h, k)$ .

$(3, 1)$

Step 4